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4100341014 = 2347111911721
BaseRepresentation
bin1111010001100110…
…0011110100010110
3101120202111220110000
43310121203310112
531344141403024
61514512312130
7203416215660
oct36431436426
911522456400
104100341014
111814598990
12965242646
135046544b3
142ac7d3530
1518ee95cc9
hexf4663d16

4100341014 has 160 divisors (see below), whose sum is σ = 11521585152. Its totient is φ = 1058832000.

The previous prime is 4100340929. The next prime is 4100341033. The reversal of 4100341014 is 4101430014.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2381674 + ... + 2383394.

Almost surely, 24100341014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100341014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5760792576).

4100341014 is an abundant number, since it is smaller than the sum of its proper divisors (7421244138).

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

4100341014 is a wasteful number, since it uses less digits than its factorization.

4100341014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4100341014 is about 64033.9051909221. The cubic root of 4100341014 is about 1600.5650366329.

Adding to 4100341014 its reverse (4101430014), we get a palindrome (8201771028).

The spelling of 4100341014 in words is "four billion, one hundred million, three hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 191 198 231 297 378 382 462 567 573 594 693 891 1134 1146 1337 1386 1719 1721 1782 2079 2101 2674 3438 3442 4011 4158 4202 5157 5163 6237 6303 8022 10314 10326 12033 12047 12474 12606 14707 15471 15489 18909 18931 24066 24094 29414 30942 30978 36099 36141 37818 37862 44121 46467 56727 56793 72198 72282 88242 92934 108297 108423 113454 113586 132363 132517 139401 170181 170379 216594 216846 264726 265034 278802 325269 328711 340362 340758 397089 397551 511137 650538 657422 794178 795102 975807 986133 1022274 1191267 1192653 1533411 1951614 1972266 2300977 2382534 2385306 2958399 3066822 3577959 3615821 4601954 5916798 6902931 7155918 7231642 8875197 10733877 10847463 13805862 17750394 20708793 21467754 21694926 25310747 26625591 32542389 41417586 50621494 53251182 62126379 65084778 75932241 97627167 124252758 151864482 186379137 195254334 227796723 292881501 372758274 455593446 585763002 683390169 1366780338 2050170507 4100341014