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357140041500 = 2235311312293049
BaseRepresentation
bin1010011001001110011…
…01001000111100011100
31021010211200222212222110
411030213031020330130
521322410322312000
6432022354314020
734542156156534
oct5144715107434
91233750885873
10357140041500
1112850a2741a0
1259271588910
13278a7bc7758
14133ddc444c4
159453cd1850
hex5327348f1c

357140041500 has 384 divisors, whose sum is σ = 1176634368000. Its totient is φ = 83393280000.

The previous prime is 357140041481. The next prime is 357140041507. The reversal of 357140041500 is 5140041753.

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 (357140041507) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 117131976 + ... + 117135024.

It is an arithmetic number, because the mean of its divisors is an integer number (3064152000).

Almost surely, 2357140041500 is an apocalyptic number.

357140041500 is a gapful number since it is divisible by the number (30) 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 357140041500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588317184000).

357140041500 is an abundant number, since it is smaller than the sum of its proper divisors (819494326500).

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

357140041500 is a wasteful number, since it uses less digits than its factorization.

357140041500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The spelling of 357140041500 in words is "three hundred fifty-seven billion, one hundred forty million, forty-one thousand, five hundred".