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1040430552000 = 26353743114369
BaseRepresentation
bin11110010001111100111…
…11100101001111000000
310200110112101122021021220
433020332133211033000
5114021300210131000
62113544525315040
7135111560526330
oct17107637451700
93613471567256
101040430552000
11371275a17034
12149786105a80
137715c5c89a8
14384ddc8d0c0
151c0e5e491a0
hexf23e7e53c0

1040430552000 has 448 divisors, whose sum is σ = 3935671234560. Its totient is φ = 237244416000.

The previous prime is 1040430551999. The next prime is 1040430552059. The reversal of 1040430552000 is 2550340401.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72400816 + ... + 72415184.

Almost surely, 21040430552000 is an apocalyptic number.

1040430552000 is a gapful number since it is divisible by the number (10) 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 1040430552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967835617280).

1040430552000 is an abundant number, since it is smaller than the sum of its proper divisors (2895240682560).

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

1040430552000 is a wasteful number, since it uses less digits than its factorization.

1040430552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14837 (or 14817 counting only the distinct ones).

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

Adding to 1040430552000 its reverse (2550340401), we get a palindrome (1042980892401).

The spelling of 1040430552000 in words is "one trillion, forty billion, four hundred thirty million, five hundred fifty-two thousand".