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16441840961316 = 2232232293832
BaseRepresentation
bin1110111101000010101000…
…0101110000011100100100
32011012211021011111020101100
43233100222011300130210
54123340342241230231
654545135533200100
73314612101145451
oct357205205603444
964184234436340
1016441840961316
115269a44648341
121a16657330030
139235c740b214
1440bb09d88828
151d7a53c061e6
hexef42a170724

16441840961316 has 81 divisors (see below), whose sum is σ = 43448378643579. Its totient is φ = 5242147690032.

The previous prime is 16441840961311. The next prime is 16441840961323. The reversal of 16441840961316 is 61316904814461.

The square root of 16441840961316 is 4054854.

It is a perfect power (a square), and thus also a powerful number.

16441840961316 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 1 + 8 + 4 + 0 + 9 + 613 + 16 = 666.

It is a super-3 number, since 3×164418409613163 (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (16441840961311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 559555161 + ... + 559584543.

Almost surely, 216441840961316 is an apocalyptic number.

16441840961316 is the 4054854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16441840961316

16441840961316 is an abundant number, since it is smaller than the sum of its proper divisors (27006537682263).

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

16441840961316 is an frugal number, since it uses more digits than its factorization.

16441840961316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58822 (or 29411 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 16441840961316 in words is "sixteen trillion, four hundred forty-one billion, eight hundred forty million, nine hundred sixty-one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 529 828 1058 1587 2116 3174 4761 6348 9522 19044 29383 58766 88149 117532 176298 264447 352596 528894 675809 1057788 1351618 2027427 2703236 4054854 6082281 8109708 12164562 15543607 24329124 31087214 46630821 62174428 93261642 139892463 186523284 279784926 559569852 863360689 1726721378 2590082067 3453442756 5180164134 7770246201 10360328268 15540492402 19857295847 31080984804 39714591694 59571887541 79429183388 119143775082 178715662623 238287550164 357431325246 456717804481 714862650492 913435608962 1370153413443 1826871217924 2740306826886 4110460240329 5480613653772 8220920480658 16441840961316