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241661417142150 = 2325217192271322901
BaseRepresentation
bin110110111100101000101110…
…111011001011011110000110
31011200122121100200000122011200
4312330220232323023132012
5223133340040242022100
62213545420013043330
7101621314125153015
oct6674505673133606
91150577320018150
10241661417142150
1170001038970825
122312b727786546
13a4ac75c9aa9b5
144396691574a7c
151ce127c221e00
hexdbca2eecb786

241661417142150 has 432 divisors, whose sum is σ = 728221372152768. Its totient is φ = 57247845120000.

The previous prime is 241661417142149. The next prime is 241661417142193. The reversal of 241661417142150 is 51241714166142.

241661417142150 is a `hidden beast` number, since 2 + 4 + 1 + 6 + 6 + 1 + 4 + 171 + 421 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 241661417142096 and 241661417142105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 748245700 + ... + 748568600.

It is an arithmetic number, because the mean of its divisors is an integer number (1685697620724).

Almost surely, 2241661417142150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 241661417142150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364110686076384).

241661417142150 is an abundant number, since it is smaller than the sum of its proper divisors (486559955010618).

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

241661417142150 is a wasteful number, since it uses less digits than its factorization.

241661417142150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323245 (or 323218 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 241661417142150 in words is "two hundred forty-one trillion, six hundred sixty-one billion, four hundred seventeen million, one hundred forty-two thousand, one hundred fifty".