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4013448016 = 24372412109
BaseRepresentation
bin1110111100111000…
…0101101101010000
3101100201000021122211
43233032011231100
531204420314031
61502130041504
7201312513424
oct35716055520
911321007584
104013448016
11177a539996
12940119294
134bc64c816
142a1054b84
1518752ebb1
hexef385b50

4013448016 has 90 divisors (see below), whose sum is σ = 8266730010. Its totient is φ = 1887390720.

The previous prime is 4013448001. The next prime is 4013448029. The reversal of 4013448016 is 6108443104.

It can be written as a sum of positive squares in 9 ways, for example, as 609892416 + 3403555600 = 24696^2 + 58340^2 .

It is a super-2 number, since 2×40134480162 = 32215529954268672512, which contains 22 as substring.

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 17 ways as a sum of consecutive naturals, for example, 36820570 + ... + 36820678.

Almost surely, 24013448016 is an apocalyptic number.

It is an amenable number.

4013448016 is an abundant number, since it is smaller than the sum of its proper divisors (4253281994).

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

4013448016 is a wasteful number, since it uses less digits than its factorization.

4013448016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The square root of 4013448016 is about 63351.7798960692. The cubic root of 4013448016 is about 1589.1780116338.

The spelling of 4013448016 in words is "four billion, thirteen million, four hundred forty-eight thousand, sixteen".

Divisors: 1 2 4 8 16 37 41 74 82 109 148 164 218 296 328 436 592 656 872 1369 1517 1681 1744 2738 3034 3362 4033 4469 5476 6068 6724 8066 8938 10952 12136 13448 16132 17876 21904 24272 26896 32264 35752 56129 62197 64528 71504 112258 124394 149221 165353 183229 224516 248788 298442 330706 366458 449032 497576 596884 661412 732916 898064 995152 1193768 1322824 1465832 2301289 2387536 2645648 2931664 4602578 6118061 6779473 9205156 12236122 13558946 18410312 24472244 27117892 36820624 48944488 54235784 97888976 108471568 250840501 501681002 1003362004 2006724008 4013448016