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104130431401014 = 23419347701139079
BaseRepresentation
bin10111101011010011000001…
…010111111011110000110110
3111122200202211210200220210000
4113223103001113323300312
5102122033110414313024
61005244505414212130
730635114106566544
oct2753230127736066
9448622753626700
10104130431401014
11301a751693a937
12b819212954046
1346145c4300375
141b9dd22a36d94
15c08a11405cc9
hex5eb4c15fbc36

104130431401014 has 160 divisors (see below), whose sum is σ = 246670752556800. Its totient is φ = 32741520235200.

The previous prime is 104130431400967. The next prime is 104130431401019. The reversal of 104130431401014 is 410104134031401.

104130431401014 is a `hidden beast` number, since 1 + 0 + 41 + 304 + 314 + 0 + 1 + 0 + 1 + 4 = 666.

It is a super-2 number, since 2×1041304314010142 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104130431401019) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 748644727 + ... + 748783805.

It is an arithmetic number, because the mean of its divisors is an integer number (1541692203480).

Almost surely, 2104130431401014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104130431401014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123335376278400).

104130431401014 is an abundant number, since it is smaller than the sum of its proper divisors (142540321155786).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104130431401014 is a wasteful number, since it uses less digits than its factorization.

104130431401014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140160 (or 140151 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 104130431401014 its reverse (410104134031401), we get a palindrome (514234565432415).

The spelling of 104130431401014 in words is "one hundred four trillion, one hundred thirty billion, four hundred thirty-one million, four hundred one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 347 513 694 701 1026 1041 1402 1539 2082 2103 3078 3123 4206 6246 6309 6593 9369 12618 13186 13319 18738 18927 19779 26638 28107 37854 39558 39957 56214 56781 59337 79914 113562 118674 119871 139079 178011 239742 243247 278158 356022 359613 417237 486494 534033 719226 729741 834474 1068066 1078839 1251711 1459482 2157678 2189223 2503422 2642501 3755133 4378446 4621693 5285002 6567669 7510266 7927503 9243386 11265399 13135338 13865079 15855006 19703007 22530798 23782509 27730158 39406014 41595237 47565018 48260413 71347527 83190474 96520826 97494379 124785711 142695054 144781239 194988758 214042581 249571422 289562478 292483137 374357133 428085162 434343717 584966274 748714266 868687434 877449411 916947847 1303031151 1754898822 1833895694 1852393201 2606062302 2632348233 2750843541 3704786402 3909093453 5264696466 5501687082 5557179603 7818186906 7897044699 8252530623 11114359206 15794089398 16505061246 16671538809 24757591869 33343077618 33830549513 49515183738 50014616427 67661099026 74272775607 100029232854 101491648539 148545551214 150043849281 202983297078 300087698562 304474945617 608949891234 642780440747 913424836851 1285560881494 1826849673702 1928341322241 2740274510553 3856682644482 5480549021106 5785023966723 11570047933446 17355071900169 34710143800338 52065215700507 104130431401014