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155112450450342 = 2371123110122942569
BaseRepresentation
bin100011010001001011101110…
…100000100110001110100110
3202100012121100100221200010220
4203101023232200212032212
5130312330244303402332
61305521402004025210
744446335056444220
oct4321135640461646
9670177310850126
10155112450450342
1145472903562500
12154919b9992206
13687206c9cb098
142a436a85b9410
1512dec6de37d2c
hex8d12ee8263a6

155112450450342 has 384 divisors, whose sum is σ = 408041664307200. Its totient is φ = 38433795840000.

The previous prime is 155112450450323. The next prime is 155112450450479. The reversal of 155112450450342 is 243054054211551.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 155112450450294 and 155112450450303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3643767634 + ... + 3643810202.

It is an arithmetic number, because the mean of its divisors is an integer number (1062608500800).

Almost surely, 2155112450450342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155112450450342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204020832153600).

155112450450342 is an abundant number, since it is smaller than the sum of its proper divisors (252929213856858).

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

155112450450342 is a wasteful number, since it uses less digits than its factorization.

155112450450342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42964 (or 42953 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 42.

The spelling of 155112450450342 in words is "one hundred fifty-five trillion, one hundred twelve billion, four hundred fifty million, four hundred fifty thousand, three hundred forty-two".