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40523541000 = 23353314773127
BaseRepresentation
bin100101101111011001…
…000010101000001000
310212121011012011201220
4211233121002220020
51130443011303000
630341040042040
72633132262255
oct455731025010
9125534164656
1040523541000
1116205534158
127a2b303320
133a8a68a737
141d65d3042c
1510c29501a0
hex96f642a08

40523541000 has 512 divisors, whose sum is σ = 136178565120. Its totient is φ = 10015488000.

The previous prime is 40523540983. The next prime is 40523541049. The reversal of 40523541000 is 14532504.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 319082937 + ... + 319083063.

It is an arithmetic number, because the mean of its divisors is an integer number (265973760).

Almost surely, 240523541000 is an apocalyptic number.

40523541000 is a gapful number since it is divisible by the number (40) 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 40523541000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68089282560).

40523541000 is an abundant number, since it is smaller than the sum of its proper divisors (95655024120).

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

40523541000 is a wasteful number, since it uses less digits than its factorization.

40523541000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The spelling of 40523541000 in words is "forty billion, five hundred twenty-three million, five hundred forty-one thousand".