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45714456127400 = 2352228572280637
BaseRepresentation
bin10100110010011101110011…
…11010110010011110101000
312222212021000001021220012112
422121032321322302132220
521442441201232034100
6241120533051101452
712425521560510344
oct1231167172623650
9188767001256175
1045714456127400
111362543478a755
125163926a41888
131c67b15a6b4a8
14b4083d054624
155442106c7b35
hex2993b9eb27a8

45714456127400 has 24 divisors (see below), whose sum is σ = 106286110496670. Its totient is φ = 18285782450880.

The previous prime is 45714456127363. The next prime is 45714456127409. The reversal of 45714456127400 is 472165441754.

It can be written as a sum of positive squares in 3 ways, for example, as 40166669447524 + 5547786679876 = 6337718^2 + 2355374^2 .

It is a super-2 number, since 2×457144561274002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is not an unprimeable number, because it can be changed into a prime (45714456127409) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114286140119 + ... + 114286140518.

Almost surely, 245714456127400 is an apocalyptic number.

45714456127400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45714456127400 is an abundant number, since it is smaller than the sum of its proper divisors (60571654369270).

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

45714456127400 is a wasteful number, since it uses less digits than its factorization.

45714456127400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228572280653 (or 228572280644 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 50.

The spelling of 45714456127400 in words is "forty-five trillion, seven hundred fourteen billion, four hundred fifty-six million, one hundred twenty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 228572280637 457144561274 914289122548 1142861403185 1828578245096 2285722806370 4571445612740 5714307015925 9142891225480 11428614031850 22857228063700 45714456127400