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31141400312 = 23117142111839
BaseRepresentation
bin11101000000001011…
…000000111011111000
32222101022001001020202
4131000023000323320
51002234144302222
622150044141332
72151466351361
oct350013007370
988338031222
1031141400312
1112230565a80
126051237848
132c239acab9
141715c82b68
15c23e3b892
hex7402c0ef8

31141400312 has 64 divisors (see below), whose sum is σ = 64754380800. Its totient is φ = 13921488000.

The previous prime is 31141400261. The next prime is 31141400369. The reversal of 31141400312 is 21300414113.

It is a congruent number.

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, 2624489 + ... + 2636327.

It is an arithmetic number, because the mean of its divisors is an integer number (1011787200).

Almost surely, 231141400312 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 31141400312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32377190400).

31141400312 is an abundant number, since it is smaller than the sum of its proper divisors (33612980488).

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

31141400312 is a wasteful number, since it uses less digits than its factorization.

31141400312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12348 (or 12344 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 31141400312 its reverse (21300414113), we get a palindrome (52441814425).

The spelling of 31141400312 in words is "thirty-one billion, one hundred forty-one million, four hundred thousand, three hundred twelve".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 421 568 781 842 1562 1684 3124 3368 4631 6248 9262 11839 18524 23678 29891 37048 47356 59782 94712 119564 130229 239128 260458 328801 520916 657602 840569 1041832 1315204 1681138 2630408 3362276 4984219 6724552 9246259 9968438 18492518 19936876 36985036 39873752 54826409 73970072 109652818 219305636 353879549 438611272 707759098 1415518196 2831036392 3892675039 7785350078 15570700156 31141400312