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1431245555040 = 253572254923873
BaseRepresentation
bin10100110100111100111…
…000100000010101100000
312001211021222000110011010
4110310330320200111200
5141422142330230130
63013301035220520
7205255412326500
oct24647470402540
95054258013133
101431245555040
11501a95892254
121b14752a7740
13a4c73053592
144d3b6241a00
152736b2c20b0
hex14d3ce20560

1431245555040 has 288 divisors, whose sum is σ = 5246769880800. Its totient is φ = 326999801856.

The previous prime is 1431245554993. The next prime is 1431245555041. The reversal of 1431245555040 is 405555421341.

It is a self number, because there is not a number n which added to its sum of digits gives 1431245555040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1431245555041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59940544 + ... + 59964416.

It is an arithmetic number, because the mean of its divisors is an integer number (18217950975).

Almost surely, 21431245555040 is an apocalyptic number.

1431245555040 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 1431245555040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623384940400).

1431245555040 is an abundant number, since it is smaller than the sum of its proper divisors (3815524325760).

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

1431245555040 is a wasteful number, since it uses less digits than its factorization.

1431245555040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26454 (or 26439 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The spelling of 1431245555040 in words is "one trillion, four hundred thirty-one billion, two hundred forty-five million, five hundred fifty-five thousand, forty".