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43054136400 = 243521116719531
BaseRepresentation
bin101000000110001110…
…011111110001010000
311010010111221202000110
4220012032133301100
51201133324331100
631440115321320
73052631056362
oct500616376120
9133114852013
1043054136400
1117293a34a10
1284168b0240
1340a1a3cb72
142126066d32
1511bebc1250
hexa0639fc50

43054136400 has 240 divisors, whose sum is σ = 151363312128. Its totient is φ = 10374336000.

The previous prime is 43054136383. The next prime is 43054136407. The reversal of 43054136400 is 463145034.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×430541364002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (43054136407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2194635 + ... + 2214165.

Almost surely, 243054136400 is an apocalyptic number.

43054136400 is a gapful number since it is divisible by the number (40) 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 43054136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75681656064).

43054136400 is an abundant number, since it is smaller than the sum of its proper divisors (108309175728).

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

43054136400 is a wasteful number, since it uses less digits than its factorization.

43054136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19730 (or 19719 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 43054136400 in words is "forty-three billion, fifty-four million, one hundred thirty-six thousand, four hundred".