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42333401088000 = 215335311172389
BaseRepresentation
bin10011010000000100000110…
…10101011000000000000000
312112220000220111201222001000
421220002003111120000000
521022042301134304000
6230011410155412000
711626326100041441
oct1150020325300000
9175800814658030
1042333401088000
1112541549314a10
1248b85b6454000
131a8103a839919
14a64d3a0c72c8
154d62c78a2000
hex268083558000

42333401088000 has 4096 divisors, whose sum is σ = 190794299904000. Its totient is φ = 9135194112000.

The previous prime is 42333401087993. The next prime is 42333401088007. The reversal of 42333401088000 is 88010433324.

It is a happy number.

42333401088000 is a `hidden beast` number, since 4 + 233 + 340 + 1 + 0 + 8 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42333401087993) and next prime (42333401088007).

It is a tau number, because it is divible by the number of its divisors (4096).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42333401088007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 475656191956 + ... + 475656192044.

It is an arithmetic number, because the mean of its divisors is an integer number (46580639625).

Almost surely, 242333401088000 is an apocalyptic number.

42333401088000 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 42333401088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95397149952000).

42333401088000 is an abundant number, since it is smaller than the sum of its proper divisors (148460898816000).

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

42333401088000 is a wasteful number, since it uses less digits than its factorization.

42333401088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 42333401088000 in words is "forty-two trillion, three hundred thirty-three billion, four hundred one million, eighty-eight thousand".