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1044213301040 = 2457131498111187
BaseRepresentation
bin11110011000111111111…
…01100111111100110000
310200211022000112211110012
433030133331213330300
5114102022101113130
62115412134554052
7135304402416230
oct17143775477460
93624260484405
101044213301040
11372937205408
1214a460b08928
1377613203030
143877c40dcc0
151c2680a8995
hexf31ff67f30

1044213301040 has 320 divisors, whose sum is σ = 3014357068800. Its totient is φ = 327577374720.

The previous prime is 1044213300947. The next prime is 1044213301069. The reversal of 1044213301040 is 401033124401.

It is a junction number, because it is equal to n+sod(n) for n = 1044213300997 and 1044213301015.

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, 879707327 + ... + 879708513.

It is an arithmetic number, because the mean of its divisors is an integer number (9419865840).

Almost surely, 21044213301040 is an apocalyptic number.

1044213301040 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 1044213301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507178534400).

1044213301040 is an abundant number, since it is smaller than the sum of its proper divisors (1970143767760).

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

1044213301040 is a wasteful number, since it uses less digits than its factorization.

1044213301040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2174 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 1044213301040 its reverse (401033124401), we get a palindrome (1445246425441).

The spelling of 1044213301040 in words is "one trillion, forty-four billion, two hundred thirteen million, three hundred one thousand, forty".