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7142731904 = 277113532053
BaseRepresentation
bin1101010011011110…
…10111000010000000
3200102210022101011002
412221233113002000
5104112014410104
63140433311132
7342001135160
oct65157270200
920383271132
107142731904
113035982220
1214741054a8
1389aa5b8a9
144ba8b25a0
152bc11001e
hex1a9bd7080

7142731904 has 128 divisors (see below), whose sum is σ = 17799799680. Its totient is φ = 2773647360.

The previous prime is 7142731891. The next prime is 7142731919. The reversal of 7142731904 is 4091372417.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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, 3478142 + ... + 3480194.

It is an arithmetic number, because the mean of its divisors is an integer number (139060935).

Almost surely, 27142731904 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 7142731904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899899840).

7142731904 is an abundant number, since it is smaller than the sum of its proper divisors (10657067776).

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

7142731904 is a wasteful number, since it uses less digits than its factorization.

7142731904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 7142731904 is about 84514.6845465331. The cubic root of 7142731904 is about 1925.8455298569.

The spelling of 7142731904 in words is "seven billion, one hundred forty-two million, seven hundred thirty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 176 224 308 352 353 448 616 704 706 896 1232 1408 1412 2053 2464 2471 2824 3883 4106 4928 4942 5648 7766 8212 9856 9884 11296 14371 15532 16424 19768 22583 22592 27181 28742 31064 32848 39536 45166 45184 54362 57484 62128 65696 79072 90332 108724 114968 124256 131392 158081 158144 180664 217448 229936 248512 262784 316162 316288 361328 434896 459872 497024 632324 722656 724709 869792 919744 1264648 1445312 1449418 1739584 1839488 2529296 2890624 2898836 3479168 5058592 5072963 5797672 7971799 10117184 10145926 11595344 15943598 20234368 20291852 23190688 31887196 40583704 46381376 55802593 63774392 81167408 92762752 111605186 127548784 162334816 223210372 255097568 324669632 446420744 510195136 649339264 892841488 1020390272 1785682976 3571365952 7142731904