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155434055153000 = 2353132157237313
BaseRepresentation
bin100011010101110111001111…
…101001001011010101101000
3202101100100110112221022100112
4203111313033221023111220
5130333112421104344000
61310325230312553452
744511511533351101
oct4325671751132550
9671310415838315
10155434055153000
1145587237a81668
12155241b26b2888
1368964a37c5a00
142a55096b9d3a8
1512e82e3190235
hex8d5dcfa4b568

155434055153000 has 288 divisors, whose sum is σ = 396381156991560. Its totient is φ = 57023959449600.

The previous prime is 155434055152991. The next prime is 155434055153051. The reversal of 155434055153000 is 351550434551.

It can be written as a sum of positive squares in 36 ways, for example, as 140060739495076 + 15373315657924 = 11834726^2 + 3920882^2 .

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4165662344 + ... + 4165699656.

Almost surely, 2155434055153000 is an apocalyptic number.

155434055153000 is a gapful number since it is divisible by the number (10) 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 155434055153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198190578495780).

155434055153000 is an abundant number, since it is smaller than the sum of its proper divisors (240947101838560).

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

155434055153000 is a wasteful number, since it uses less digits than its factorization.

155434055153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37674 (or 37490 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The spelling of 155434055153000 in words is "one hundred fifty-five trillion, four hundred thirty-four billion, fifty-five million, one hundred fifty-three thousand".