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4325270400000 = 2103455113741
BaseRepresentation
bin111110111100001110001…
…101001010110000000000
3120022111021112100001120000
4332330032031022300000
51031331123210300000
613111000215320000
7624330142535154
oct76741615126000
916274245301500
104325270400000
111418378421470
1259a324380000
13254b43196744
1410d4b66d5064
157779be50000
hex3ef0e34ac00

4325270400000 has 2640 divisors, whose sum is σ = 18528897762144. Its totient is φ = 995328000000.

The previous prime is 4325270399977. The next prime is 4325270400043. The reversal of 4325270400000 is 40725234.

4325270400000 is a `hidden beast` number, since 4 + 3 + 252 + 7 + 0 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2640).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 105494399980 + ... + 105494400020.

Almost surely, 24325270400000 is an apocalyptic number.

4325270400000 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 4325270400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264448881072).

4325270400000 is an abundant number, since it is smaller than the sum of its proper divisors (14203627362144).

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

4325270400000 is an equidigital number, since it uses as much as digits as its factorization.

4325270400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The spelling of 4325270400000 in words is "four trillion, three hundred twenty-five billion, two hundred seventy million, four hundred thousand".