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40500544500504 = 233211101990151137
BaseRepresentation
bin10010011010101110001001…
…00100010111001100011000
312022101210222120201012211100
421031113010210113030120
520302030103343004004
6222045405430031400
711350032151101204
oct1115270444271430
9168353876635740
1040500544500504
11119a5203583890
12466133a4a8560
13197a25347b78a
14a00345b59b04
154a37a3558739
hex24d5c4917318

40500544500504 has 192 divisors, whose sum is σ = 120860027851680. Its totient is φ = 12149913600000.

The previous prime is 40500544500499. The next prime is 40500544500539.

40500544500504 is a `hidden beast` number, since 4 + 0 + 50 + 0 + 54 + 4 + 50 + 0 + 504 = 666.

40500544500504 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 791975224 + ... + 792026360.

Almost surely, 240500544500504 is an apocalyptic number.

40500544500504 is a gapful number since it is divisible by the number (44) 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 40500544500504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60430013925840).

40500544500504 is an abundant number, since it is smaller than the sum of its proper divisors (80359483351176).

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

40500544500504 is a wasteful number, since it uses less digits than its factorization.

40500544500504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61162 (or 61155 counting only the distinct ones).

The product of its (nonzero) digits is 160000, while the sum is 36.

It can be divided in two parts, 4050054 and 4500504, that added together give a palindrome (8550558).

The spelling of 40500544500504 in words is "forty trillion, five hundred billion, five hundred forty-four million, five hundred thousand, five hundred four".