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42132053222400 = 2103521374004339
BaseRepresentation
bin10011001010001101000100…
…00100001110010000000000
312112011210012020012121112110
421211012202010032100000
521010242421111104100
6225335110440055320
711605640361316221
oct1145064204162000
9175153166177473
1042132053222400
11124741157333a9
124885583464540
131a680601c3a4b
14a592b8dc5248
154d0e40e35250
hex2651a210e400

42132053222400 has 264 divisors, whose sum is σ = 140265078665760. Its totient is φ = 11153202544640.

The previous prime is 42132053222251. The next prime is 42132053222431. The reversal of 42132053222400 is 422235023124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8519431 + ... + 12523769.

Almost surely, 242132053222400 is an apocalyptic number.

42132053222400 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 42132053222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70132539332880).

42132053222400 is an abundant number, since it is smaller than the sum of its proper divisors (98133025443360).

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

42132053222400 is a wasteful number, since it uses less digits than its factorization.

42132053222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4004509 (or 4004486 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42132053222400 its reverse (422235023124), we get a palindrome (42554288245524).

The spelling of 42132053222400 in words is "forty-two trillion, one hundred thirty-two billion, fifty-three million, two hundred twenty-two thousand, four hundred".