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440157941136 = 243661432
BaseRepresentation
bin1100110011110110111…
…01010010110110010000
31120002010100211011000000
412121323131102312100
524202420413104021
6534112240130000
743541344524414
oct6317335226620
91502110734000
10440157941136
1115a740756a01
1271380006900
13326783401a4
1417437724d44
15b6b21ccb26
hex667b752d90

440157941136 has 105 divisors (see below), whose sum is σ = 1278832278619. Its totient is φ = 146695429728.

The previous prime is 440157941077. The next prime is 440157941137. The reversal of 440157941136 is 631149751044.

The square root of 440157941136 is 663444.

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

440157941136 is a `hidden beast` number, since 4 + 4 + 0 + 1 + 579 + 41 + 1 + 36 = 666.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 440157941091 and 440157941100.

It is not an unprimeable number, because it can be changed into a prime (440157941137) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 71648881 + ... + 71655023.

Almost surely, 2440157941136 is an apocalyptic number.

440157941136 is the 663444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440157941136

440157941136 is an abundant number, since it is smaller than the sum of its proper divisors (838674337483).

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

440157941136 is an frugal number, since it uses more digits than its factorization.

440157941136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12312 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 440157941136 in words is "four hundred forty billion, one hundred fifty-seven million, nine hundred forty-one thousand, one hundred thirty-six".