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1139742864 = 2432134314159
BaseRepresentation
bin100001111101111…
…0001100010010000
32221102121221021200
41003323301202100
54313233232424
6305032351200
740146440331
oct10373614220
92842557250
101139742864
1153539a757
12279845500
13152187480
14ab526288
156a0d68c9
hex43ef1890

1139742864 has 120 divisors (see below), whose sum is σ = 3515191680. Its totient is φ = 342510336.

The previous prime is 1139742859. The next prime is 1139742979. The reversal of 1139742864 is 4682479311.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73417 + ... + 87575.

It is an arithmetic number, because the mean of its divisors is an integer number (29293264).

Almost surely, 21139742864 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 1139742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757595840).

1139742864 is an abundant number, since it is smaller than the sum of its proper divisors (2375448816).

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

1139742864 is a wasteful number, since it uses less digits than its factorization.

1139742864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14229 (or 14220 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 1139742864 is about 33760.0779619953. The cubic root of 1139742864 is about 1044.5653783547.

The spelling of 1139742864 in words is "one billion, one hundred thirty-nine million, seven hundred forty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 43 48 52 72 78 86 104 117 129 144 156 172 208 234 258 312 344 387 468 516 559 624 688 774 936 1032 1118 1548 1677 1872 2064 2236 3096 3354 4472 5031 6192 6708 8944 10062 13416 14159 20124 26832 28318 40248 42477 56636 80496 84954 113272 127431 169908 184067 226544 254862 339816 368134 509724 552201 608837 679632 736268 1019448 1104402 1217674 1472536 1656603 1826511 2038896 2208804 2435348 2945072 3313206 3653022 4417608 4870696 5479533 6626412 7306044 7914881 8835216 9741392 10959066 13252824 14612088 15829762 21918132 23744643 26505648 29224176 31659524 43836264 47489286 63319048 71233929 87672528 94978572 126638096 142467858 189957144 284935716 379914288 569871432 1139742864