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31004314144 = 254123631337
BaseRepresentation
bin11100111000000000…
…000100101000100000
32222000202002100101021
4130320000010220200
51001444101023034
622124310015224
72145213215266
oct347000045040
988022070337
1031004314144
1112170144121
126013347514
132c01482b1b
14170199a436
15c16dad6b4
hex738004a20

31004314144 has 24 divisors (see below), whose sum is σ = 62528520348. Its totient is φ = 15124055040.

The previous prime is 31004314097. The next prime is 31004314147. The reversal of 31004314144 is 44141340013.

It can be written as a sum of positive squares in 2 ways, for example, as 26442662544 + 4561651600 = 162612^2 + 67540^2 .

It is a super-2 number, since 2×310043141442 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31004314147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11814357 + ... + 11816980.

Almost surely, 231004314144 is an apocalyptic number.

It is an amenable number.

31004314144 is an abundant number, since it is smaller than the sum of its proper divisors (31524206204).

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

31004314144 is a wasteful number, since it uses less digits than its factorization.

31004314144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23631388 (or 23631380 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31004314144 its reverse (44141340013), we get a palindrome (75145654157).

The spelling of 31004314144 in words is "thirty-one billion, four million, three hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 23631337 47262674 94525348 189050696 378101392 756202784 968884817 1937769634 3875539268 7751078536 15502157072 31004314144