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21513043200144 = 2438353323101267
BaseRepresentation
bin1001110010000111001010…
…10011000100100010010000
32211011121220222011212022010
410321003211103010202100
510304432203024401034
6113430542224542520
74350160160022006
oct471034523044220
984147828155263
1021513043200144
1169446a3051781
1224b5456781a40
13c00895a16342
14545345c9aa76
1527490c3673e9
hex1390e54c4890

21513043200144 has 80 divisors (see below), whose sum is σ = 56246554490112. Its totient is φ = 7084413815424.

The previous prime is 21513043200101. The next prime is 21513043200161. The reversal of 21513043200144 is 44100234031512.

It is a super-2 number, since 2×215130432001442 (a number of 27 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 212388199 + ... + 212489465.

Almost surely, 221513043200144 is an apocalyptic number.

21513043200144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21513043200144 is an abundant number, since it is smaller than the sum of its proper divisors (34733511289968).

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

21513043200144 is a wasteful number, since it uses less digits than its factorization.

21513043200144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154684 (or 154678 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 21513043200144 its reverse (44100234031512), we get a palindrome (65613277231656).

The spelling of 21513043200144 in words is "twenty-one trillion, five hundred thirteen billion, forty-three million, two hundred thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 53323 101267 106646 159969 202534 213292 303801 319938 405068 426584 607602 639876 810136 853168 1215204 1279752 1620272 2430408 2559504 4425809 4860816 8405161 8851618 13277427 16810322 17703236 25215483 26554854 33620644 35406472 50430966 53109708 67241288 70812944 100861932 106219416 134482576 201723864 212438832 403447728 5399860241 10799720482 16199580723 21599440964 32399161446 43198881928 64798322892 86397763856 129596645784 259193291568 448188400003 896376800006 1344565200009 1792753600012 2689130400018 3585507200024 5378260800036 7171014400048 10756521600072 21513043200144