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140013402102432 = 2532486157646189
BaseRepresentation
bin11111110101011101101001…
…000110001001101010100000
3200100202011001201122212220100
4133311131221012021222200
5121322434421414234212
61213441134032342400
741330430425213025
oct3765355106115240
9610664051585810
10140013402102432
1140681394388161
12138536510a4a00
1360182901ab921
14268098320754c
15112c10adb9bdc
hex7f5769189aa0

140013402102432 has 36 divisors (see below), whose sum is σ = 398163112229610. Its totient is φ = 46671134034048.

The previous prime is 140013402102397. The next prime is 140013402102451. The reversal of 140013402102432 is 234201204310041.

140013402102432 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 1 + 3 + 402 + 10 + 243 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 82908236316816 + 57105165785616 = 9105396^2 + 7556796^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 140013402102396 and 140013402102405.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 243078822807 + ... + 243078823382.

Almost surely, 2140013402102432 is an apocalyptic number.

140013402102432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

140013402102432 is an abundant number, since it is smaller than the sum of its proper divisors (258149710127178).

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

140013402102432 is a wasteful number, since it uses less digits than its factorization.

140013402102432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486157646205 (or 486157646194 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 140013402102432 its reverse (234201204310041), we get a palindrome (374214606412473).

The spelling of 140013402102432 in words is "one hundred forty trillion, thirteen billion, four hundred two million, one hundred two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 486157646189 972315292378 1458472938567 1944630584756 2916945877134 3889261169512 4375418815701 5833891754268 7778522339024 8750837631402 11667783508536 15557044678048 17501675262804 23335567017072 35003350525608 46671134034144 70006701051216 140013402102432