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140619000064 = 2823210192
BaseRepresentation
bin1000001011110110001…
…0111010100100000000
3111102221222110100012111
42002331202322210000
54300441431000224
6144333253105104
713105445531134
oct2027542724400
9442858410174
10140619000064
11546aa83a044
1223305028194
131034cbb0b1a
146b3d91d3c4
1539d0243d94
hex20bd8ba900

140619000064 has 81 divisors (see below), whose sum is σ = 293711401123. Its totient is φ = 67186566656.

The previous prime is 140619000037. The next prime is 140619000089. The reversal of 140619000064 is 460000916041.

The square root of 140619000064 is 374992.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 137996547 + ... + 137997565.

Almost surely, 2140619000064 is an apocalyptic number.

140619000064 is the 374992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140619000064

140619000064 is an abundant number, since it is smaller than the sum of its proper divisors (153092401059).

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

140619000064 is an frugal number, since it uses more digits than its factorization.

140619000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

Multiplying 140619000064 by its product of nonzero digits (5184), we get a square (728968896331776 = 269994242).

The spelling of 140619000064 in words is "one hundred forty billion, six hundred nineteen million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 368 529 736 1019 1058 1472 2038 2116 2944 4076 4232 5888 8152 8464 16304 16928 23437 32608 33856 46874 65216 67712 93748 130432 135424 187496 260864 374992 539051 749984 1038361 1078102 1499968 2076722 2156204 2999936 4153444 4312408 5999872 8306888 8624816 16613776 17249632 23882303 33227552 34499264 47764606 66455104 68998528 95529212 132910208 137997056 191058424 265820416 382116848 549292969 764233696 1098585938 1528467392 2197171876 3056934784 4394343752 6113869568 8788687504 17577375008 35154750016 70309500032 140619000064