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10040144054512 = 24111319267419433
BaseRepresentation
bin1001001000011010011100…
…1110000100100011110000
31022112211100220100111222011
42102012213032010203300
52303444203334221022
633204213431252304
72054243062233145
oct222064716044360
938484326314864
1010040144054512
113221001633380
121161a1bb1a094
1357aa21007730
14269d348b83cc
151262793d2977
hex921a73848f0

10040144054512 has 480 divisors, whose sum is σ = 24594833329920. Its totient is φ = 3912923013120.

The previous prime is 10040144054461. The next prime is 10040144054519. The reversal of 10040144054512 is 21545044104001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040144054519) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23187399448 + ... + 23187399880.

It is an arithmetic number, because the mean of its divisors is an integer number (51239236104).

Almost surely, 210040144054512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10040144054512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12297416664960).

10040144054512 is an abundant number, since it is smaller than the sum of its proper divisors (14554689275408).

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

10040144054512 is a wasteful number, since it uses less digits than its factorization.

10040144054512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 31.

Adding to 10040144054512 its reverse (21545044104001), we get a palindrome (31585188158513).

The spelling of 10040144054512 in words is "ten trillion, forty billion, one hundred forty-four million, fifty-four thousand, five hundred twelve".