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140436063504 = 24321121721672
BaseRepresentation
bin1000001011001010100…
…1000100010100010000
3111102111020020012102100
42002302221010110100
54300103113013004
6144303200120400
713101064562322
oct2026251042420
9442436205370
10140436063504
1154616551100
1223273906100
131032101c439
146b234dd612
1539be15a739
hex20b2a44510

140436063504 has 405 divisors, whose sum is σ = 461674932901. Its totient is φ = 39813227520.

The previous prime is 140436063457. The next prime is 140436063529. The reversal of 140436063504 is 405360634041.

The square root of 140436063504 is 374748.

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

140436063504 is a `hidden beast` number, since 1 + 4 + 0 + 43 + 606 + 3 + 5 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109336035600 + 31100027904 = 330660^2 + 176352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 840934429 + ... + 840934595.

Almost surely, 2140436063504 is an apocalyptic number.

140436063504 is the 374748-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140436063504

140436063504 is an abundant number, since it is smaller than the sum of its proper divisors (321238869397).

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

140436063504 is a wasteful number, since it uses less digits than its factorization.

140436063504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

Multiplying 140436063504 by its sum of digits (36), we get a square (5055698286144 = 22484882).

140436063504 divided by its sum of digits (36) gives a square (3901001764 = 624582).

Adding to 140436063504 its reverse (405360634041), we get a palindrome (545796697545).

The spelling of 140436063504 in words is "one hundred forty billion, four hundred thirty-six million, sixty-three thousand, five hundred four".