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3140807000064 = 215331949941
BaseRepresentation
bin101101101101000110101…
…011111000000000000000
3102010020222020111000011120
4231231012223320000000
5402424333043000224
610402511122112240
7442626061003206
oct55550653700000
912106866430146
103140807000064
111001010741a18
12428861aab680
1319a23b656016
14ac031793076
1556a76221779
hex2db46af8000

3140807000064 has 64 divisors (see below), whose sum is σ = 8375357795880. Its totient is φ = 1046935633920.

The previous prime is 3140807000059. The next prime is 3140807000083. The reversal of 3140807000064 is 4600007080413.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×31408070000642 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3140806999989 and 3140807000034.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15876667 + ... + 16073274.

Almost surely, 23140807000064 is an apocalyptic number.

It is an amenable number.

3140807000064 is an abundant number, since it is smaller than the sum of its proper divisors (5234550795816).

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

3140807000064 is an frugal number, since it uses more digits than its factorization.

3140807000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31949974 (or 31949946 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 3140807000064 in words is "three trillion, one hundred forty billion, eight hundred seven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 8192 12288 16384 24576 32768 49152 98304 31949941 63899882 95849823 127799764 191699646 255599528 383399292 511199056 766798584 1022398112 1533597168 2044796224 3067194336 4089592448 6134388672 8179184896 12268777344 16358369792 24537554688 32716739584 49075109376 65433479168 98150218752 130866958336 196300437504 261733916672 392600875008 523467833344 785201750016 1046935666688 1570403500032 3140807000064