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6102141318 = 234713478807
BaseRepresentation
bin1011010111011011…
…10100100110000110
3120202021020220020000
411223231310212012
544444122010233
62445302022130
7304134226320
oct55355644606
916667226200
106102141318
1126515550a9
121223717946
137632ac110
1441c5da610
1525aab1d13
hex16bb74986

6102141318 has 160 divisors (see below), whose sum is σ = 17188706304. Its totient is φ = 1574935488.

The previous prime is 6102141317. The next prime is 6102141319. The reversal of 6102141318 is 8131412016.

It is a happy number.

6102141318 is a `hidden beast` number, since 610 + 2 + 1 + 41 + 3 + 1 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (6102141317) and next prime (6102141319).

It is a super-2 number, since 2×61021413182 = 74472257329685554248, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6102141291 and 6102141300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6102141317) 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, 688471 + ... + 697277.

Almost surely, 26102141318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6102141318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8594353152).

6102141318 is an abundant number, since it is smaller than the sum of its proper divisors (11086564986).

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

6102141318 is a wasteful number, since it uses less digits than its factorization.

6102141318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8888 (or 8879 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 6102141318 is about 78116.2039400277. The cubic root of 6102141318 is about 1827.3739113535.

The spelling of 6102141318 in words is "six billion, one hundred two million, one hundred forty-one thousand, three hundred eighteen".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 47 54 63 78 81 91 94 117 126 141 162 182 189 234 273 282 329 351 378 423 546 567 611 658 702 819 846 987 1053 1134 1222 1269 1638 1833 1974 2106 2457 2538 2961 3666 3807 4277 4914 5499 5922 7371 7614 8554 8807 8883 10998 12831 14742 16497 17614 17766 25662 26421 26649 32994 38493 49491 52842 53298 61649 76986 79263 98982 114491 115479 123298 158526 184947 228982 230958 237789 343473 346437 369894 413929 475578 554841 686946 692874 713367 801437 827858 1030419 1109682 1241787 1426734 1602874 1664523 2060838 2404311 2483574 2897503 3091257 3329046 3725361 4808622 4993569 5381077 5795006 6182514 7212933 7450722 8692509 9273771 9987138 10762154 11176083 14425866 16143231 17385018 18547542 21638799 22352166 26077527 32286462 33528249 37667539 43277598 48429693 52155054 64916397 67056498 75335078 78232581 96859386 113002617 129832794 145289079 156465162 226005234 234697743 290578158 339007851 435867237 469395486 678015702 871734474 1017023553 2034047106 3051070659 6102141318