Search a number
-
+
156401012404 = 22731314875897
BaseRepresentation
bin1001000110101000111…
…0100000111010110100
3112221200212002122011001
42101222032200322310
510030302124344104
6155503304253044
714204522446000
oct2215216407264
9487625078131
10156401012404
116036932654a
122638a471184
1311996752570
1477d9949700
154105a2aaa4
hex246a3a0eb4

156401012404 has 96 divisors (see below), whose sum is σ = 344027980800. Its totient is φ = 61820833536.

The previous prime is 156401012381. The next prime is 156401012461. The reversal of 156401012404 is 404210104651.

It is a super-2 number, since 2×1564010124042 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

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 31 ways as a sum of consecutive naturals, for example, 26519184 + ... + 26525080.

It is an arithmetic number, because the mean of its divisors is an integer number (3583624800).

Almost surely, 2156401012404 is an apocalyptic number.

156401012404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156401012404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172013990400).

156401012404 is an abundant number, since it is smaller than the sum of its proper divisors (187626968396).

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

156401012404 is a wasteful number, since it uses less digits than its factorization.

156401012404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7422 (or 7406 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The spelling of 156401012404 in words is "one hundred fifty-six billion, four hundred one million, twelve thousand, four hundred four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 343 364 637 686 1274 1372 1487 2548 2974 4459 5897 5948 8918 10409 11794 17836 19331 20818 23588 38662 41279 41636 72863 76661 77324 82558 135317 145726 153322 165116 270634 288953 291452 306644 510041 536627 541268 577906 947219 1020082 1073254 1155812 1894438 2022671 2040164 2146508 3756389 3788876 4045342 6630533 7512778 8090684 8768839 13261066 15025556 17537678 26294723 26522132 35075356 52589446 61381873 105178892 113994907 122763746 227989814 245527492 429673111 455979628 797964349 859346222 1595928698 1718692444 3007711777 3191857396 5585750443 6015423554 11171500886 12030847108 22343001772 39100253101 78200506202 156401012404