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140787046656 = 283278172
BaseRepresentation
bin1000001100011110001…
…1111101100100000000
3111110101200122222210100
42003013203331210000
54301312440443111
6144402055002400
713112556102654
oct2030743754400
9443350588710
10140787046656
1154786687a23
1223351369400
131037895ac89
146b57d84a64
1539ded8a756
hex20c78fd900

140787046656 has 81 divisors (see below), whose sum is σ = 405975698401. Its totient is φ = 46923012096.

The previous prime is 140787046649. The next prime is 140787046667. The reversal of 140787046656 is 656640787041.

The square root of 140787046656 is 375216.

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

140787046656 is a `hidden beast` number, since 1 + 40 + 78 + 70 + 466 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 324000000 + 140463046656 = 18000^2 + 374784^2 .

It is a super-2 number, since 2×1407870466562 (a number of 23 digits) contains 22 as substring.

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, 18006460 + ... + 18014276.

Almost surely, 2140787046656 is an apocalyptic number.

140787046656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

140787046656 is the 375216-th square number.

It is an amenable number.

140787046656 is an abundant number, since it is smaller than the sum of its proper divisors (265188651745).

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

140787046656 is an frugal number, since it uses more digits than its factorization.

140787046656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15656 (or 7822 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 140787046656 in words is "one hundred forty billion, seven hundred eighty-seven million, forty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 7817 15634 23451 31268 46902 62536 70353 93804 125072 140706 187608 250144 281412 375216 500288 562824 750432 1000576 1125648 1500864 2001152 2251296 3001728 4502592 6003456 9005184 18010368 61105489 122210978 183316467 244421956 366632934 488843912 549949401 733265868 977687824 1099898802 1466531736 1955375648 2199797604 2933063472 3910751296 4399595208 5866126944 7821502592 8799190416 11732253888 15643005184 17598380832 23464507776 35196761664 46929015552 70393523328 140787046656