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31334603144 = 23131035415407
BaseRepresentation
bin11101001011101100…
…000001100110001000
32222212202120202201012
4131023230001212020
51003133124300034
622221145143052
72156333506055
oct351354014610
988782522635
1031334603144
111231a626139
1260a5a8aa88
132c54a272c0
1417337b602c
15c35da1cce
hex74bb01988

31334603144 has 64 divisors (see below), whose sum is σ = 64016010240. Its totient is φ = 14292599040.

The previous prime is 31334603071. The next prime is 31334603189. The reversal of 31334603144 is 44130643313.

It is a self number, because there is not a number n which added to its sum of digits gives 31334603144.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5792489 + ... + 5797895.

It is an arithmetic number, because the mean of its divisors is an integer number (1000250160).

Almost surely, 231334603144 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 31334603144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32008005120).

31334603144 is an abundant number, since it is smaller than the sum of its proper divisors (32681407096).

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

31334603144 is a wasteful number, since it uses less digits than its factorization.

31334603144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6070 (or 6066 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

The spelling of 31334603144 in words is "thirty-one billion, three hundred thirty-four million, six hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 26 52 103 104 206 412 541 824 1082 1339 2164 2678 4328 5356 5407 7033 10712 10814 14066 21628 28132 43256 55723 56264 70291 111446 140582 222892 281164 445784 556921 562328 724399 1113842 1448798 2227684 2897596 2925187 4455368 5795192 5850374 7239973 11700748 14479946 23401496 28959892 38027431 57919784 76054862 152109724 301294261 304219448 602588522 1205177044 2410354088 3916825393 7833650786 15667301572 31334603144