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140827107984 = 24389317103991
BaseRepresentation
bin1000001100100111110…
…0110010001010010000
3111110111111001022121020
42003021330302022100
54301403214423414
6144410045355440
713113553444563
oct2031174621220
9443444038536
10140827107984
11547a725a662
1223362868b80
13103840466c4
146b5d4124da
1539e36507a9
hex20c9f32290

140827107984 has 80 divisors (see below), whose sum is σ = 369055128960. Its totient is φ = 46268062720.

The previous prime is 140827107983. The next prime is 140827107991. The reversal of 140827107984 is 489701728041.

It is not an unprimeable number, because it can be changed into a prime (140827107983) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1302229 + ... + 1406219.

It is an arithmetic number, because the mean of its divisors is an integer number (4613189112).

Almost surely, 2140827107984 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 140827107984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184527564480).

140827107984 is an abundant number, since it is smaller than the sum of its proper divisors (228228020976).

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

140827107984 is a wasteful number, since it uses less digits than its factorization.

140827107984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104408 (or 104402 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 140827107984 in words is "one hundred forty billion, eight hundred twenty-seven million, one hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 317 356 534 634 712 951 1068 1268 1424 1902 2136 2536 3804 4272 5072 7608 15216 28213 56426 84639 103991 112852 169278 207982 225704 311973 338556 415964 451408 623946 677112 831928 1247892 1354224 1663856 2495784 4991568 9255199 18510398 27765597 32965147 37020796 55531194 65930294 74041592 98895441 111062388 131860588 148083184 197790882 222124776 263721176 395581764 444249552 527442352 791163528 1582327056 2933898083 5867796166 8801694249 11735592332 17603388498 23471184664 35206776996 46942369328 70413553992 140827107984