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14406276136 = 2371723837927
BaseRepresentation
bin11010110101010111…
…00101010000101000
31101011222221122122211
431122223211100220
5214001001314021
610341304254504
71020000220030
oct153253452050
941158848584
1014406276136
116122a7053a
122960771434
13148783a065
149a94328c0
15594b363e1
hex35aae5428

14406276136 has 128 divisors (see below), whose sum is σ = 34522951680. Its totient is φ = 5490625536.

The previous prime is 14406276091. The next prime is 14406276169. The reversal of 14406276136 is 63167260441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1813405 + ... + 1821331.

It is an arithmetic number, because the mean of its divisors is an integer number (269710560).

Almost surely, 214406276136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14406276136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17261475840).

14406276136 is an abundant number, since it is smaller than the sum of its proper divisors (20116675544).

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

14406276136 is a wasteful number, since it uses less digits than its factorization.

14406276136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8063 (or 8059 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 14406276136 in words is "fourteen billion, four hundred six million, two hundred seventy-six thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 83 92 119 136 161 166 184 238 322 332 391 476 581 644 664 782 952 1162 1288 1411 1564 1909 2324 2737 2822 3128 3818 4648 5474 5644 7636 7927 9877 10948 11288 13363 15272 15854 19754 21896 26726 31708 32453 39508 53452 55489 63416 64906 79016 106904 110978 129812 134759 182321 221956 227171 259624 269518 364642 443912 454342 539036 657941 729284 908684 943313 1078072 1276247 1315882 1458568 1817368 1886626 2552494 2631764 3099457 3773252 4605587 5104988 5263528 6198914 7546504 9211174 10209976 11184997 12397828 15132643 18422348 21696199 22369994 24795656 30265286 36844696 43392398 44739988 60530572 78294979 86784796 89479976 105928501 121061144 156589958 173569592 211857002 257254931 313179916 423714004 514509862 626359832 847428008 1029019724 1800784517 2058039448 3601569034 7203138068 14406276136