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401232304156450 = 252132973291582649
BaseRepresentation
bin101101100111010110010110…
…0111101100010111100100010
31221121122102201010221101221011
41123032230230331202330202
5410042242224331001300
63541203324221451134
7150341035351266454
oct13316545475427442
91847572633841834
10401232304156450
11106932734656648
1239001612a10aaa
13142b6075699820
147111a6620c2d4
15315be8dd85eba
hex16ceb2cf62f22

401232304156450 has 96 divisors (see below), whose sum is σ = 842802154866000. Its totient is φ = 141079348408320.

The previous prime is 401232304156393. The next prime is 401232304156477. The reversal of 401232304156450 is 54651403232104.

It can be written as a sum of positive squares in 24 ways, for example, as 9130169294689 + 392102134861761 = 3021617^2 + 19801569^2 .

It is a super-3 number, since 3×4012323041564503 (a number of 45 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144415275 + ... + 147167374.

Almost surely, 2401232304156450 is an apocalyptic number.

401232304156450 is an abundant number, since it is smaller than the sum of its proper divisors (441569850709550).

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

401232304156450 is a wasteful number, since it uses less digits than its factorization.

401232304156450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291582776 (or 291582771 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 40.

Adding to 401232304156450 its reverse (54651403232104), we get a palindrome (455883707388554).

The spelling of 401232304156450 in words is "four hundred one trillion, two hundred thirty-two billion, three hundred four million, one hundred fifty-six thousand, four hundred fifty".

Divisors: 1 2 5 10 13 25 26 29 50 58 65 73 130 145 146 290 325 365 377 650 725 730 754 949 1450 1825 1885 1898 2117 3650 3770 4234 4745 9425 9490 10585 18850 21170 23725 27521 47450 52925 55042 105850 137605 275210 688025 1376050 291582649 583165298 1457913245 2915826490 3790574437 7289566225 7581148874 8455896821 14579132450 16911793642 18952872185 21285533377 37905744370 42279484105 42571066754 84558968210 94764360925 106427666885 109926658673 189528721850 211397420525 212855333770 219853317346 276711933901 422794841050 532138334425 549633293365 553423867802 617280467933 1064276668850 1099266586730 1234560935866 1383559669505 2748166466825 2767119339010 3086402339665 5496332933650 6172804679330 6917798347525 8024646083129 13835596695050 15432011698325 16049292166258 30864023396650 40123230415645 80246460831290 200616152078225 401232304156450