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140739635838976 = 23165537
BaseRepresentation
bin100000000000000010000000…
…000000000000000000000000
3200110022120121012120011211021
4200000002000000000000000
5121421334233233321401
61215154521321555224
741434050243136336
oct4000020000000000
9613276535504737
10140739635838976
11409313873a1359
121395034b345b14
13606b8c96591a5
1426a7b98687b56
151140e630e62a1
hex800080000000

140739635838976 has 64 divisors (see below), whose sum is σ = 281483566579710. Its totient is φ = 70368744177664.

The previous prime is 140739635838947. The next prime is 140739635838983. The reversal of 140739635838976 is 679838536937041.

It can be written as a sum of positive squares in only one way, i.e., 70919573733376 + 69820062105600 = 8421376^2 + 8355840^2 .

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

It is a super-3 number, since 3×1407396358389763 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 140739635838896 and 140739635838905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

In principle, a polygon with 140739635838976 sides can be constructed with ruler and compass.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2147450880 + ... + 2147516416.

Almost surely, 2140739635838976 is an apocalyptic number.

140739635838976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140739635838976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140741783289855).

140739635838976 is an abundant number, since it is smaller than the sum of its proper divisors (140743930740734).

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

140739635838976 is an frugal number, since it uses more digits than its factorization.

140739635838976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65599 (or 65539 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 79.

The spelling of 140739635838976 in words is "one hundred forty trillion, seven hundred thirty-nine billion, six hundred thirty-five million, eight hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 4096 8192 16384 32768 65536 65537 131072 131074 262144 262148 524288 524296 1048576 1048592 2097152 2097184 4194304 4194368 8388608 8388736 16777216 16777472 33554432 33554944 67108864 67109888 134217728 134219776 268435456 268439552 536870912 536879104 1073741824 1073758208 2147483648 2147516416 4295032832 8590065664 17180131328 34360262656 68720525312 137441050624 274882101248 549764202496 1099528404992 2199056809984 4398113619968 8796227239936 17592454479872 35184908959744 70369817919488 140739635838976