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17144508444 = 22371106918439
BaseRepresentation
bin11111111011110010…
…00111000000011100
31122020211102021020020
433331321013000130
5240102443232234
611513122152140
71144566626430
oct177571070034
948224367206
1017144508444
1172a869aa48
1233a57b2650
131802c1b86b
14b88d789c0
156a521e549
hex3fde4701c

17144508444 has 48 divisors (see below), whose sum is σ = 45725299200. Its totient is φ = 4897722816.

The previous prime is 17144508443. The next prime is 17144508461. The reversal of 17144508444 is 44480544171.

It is a super-2 number, since 2×171445084442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 17144508396 and 17144508405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17144508443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920577 + ... + 939015.

It is an arithmetic number, because the mean of its divisors is an integer number (952610400).

Almost surely, 217144508444 is an apocalyptic number.

17144508444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

17144508444 is an abundant number, since it is smaller than the sum of its proper divisors (28580790756).

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

17144508444 is a wasteful number, since it uses less digits than its factorization.

17144508444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29522 (or 29520 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

The spelling of 17144508444 in words is "seventeen billion, one hundred forty-four million, five hundred eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 11069 18439 22138 33207 36878 44276 55317 66414 73756 77483 110634 129073 132828 154966 221268 232449 258146 309932 387219 464898 516292 774438 929796 1548876 204101291 408202582 612303873 816405164 1224607746 1428709037 2449215492 2857418074 4286127111 5714836148 8572254222 17144508444