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241005253432341 = 32389252191556179
BaseRepresentation
bin110110110011000101101000…
…100001010001010000010101
31011121022212200111020111202010
4312303011220201101100111
5223042112224334313331
62212324141315334433
7101523024564513546
oct6663055041212025
91147285614214663
10241005253432341
116a878832628832
12230445238b1419
13a46290c325808
144372a061384cd
151cce176839e46
hexdb3168851415

241005253432341 has 32 divisors (see below), whose sum is σ = 339092866944000. Its totient is φ = 151951594025088.

The previous prime is 241005253432319. The next prime is 241005253432367. The reversal of 241005253432341 is 143234352500142.

It is a happy number.

It is not a de Polignac number, because 241005253432341 - 27 = 241005253432213 is a prime.

It is a super-2 number, since 2×2410052534323412 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 241005253432341.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241005253439341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154091790 + ... + 155647968.

It is an arithmetic number, because the mean of its divisors is an integer number (10596652092000).

Almost surely, 2241005253432341 is an apocalyptic number.

It is an amenable number.

241005253432341 is a deficient number, since it is larger than the sum of its proper divisors (98087613511659).

241005253432341 is a wasteful number, since it uses less digits than its factorization.

241005253432341 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1581513.

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 241005253432341 in words is "two hundred forty-one trillion, five billion, two hundred fifty-three million, four hundred thirty-two thousand, three hundred forty-one".

Divisors: 1 3 23 69 89 267 2047 6141 25219 75657 580037 1556179 1740111 2244491 4668537 6733473 35792117 51623293 107376351 138499931 154869879 415499793 3185498413 9556495239 39245278201 117735834603 902641398623 2707924195869 3492829759889 10478489279667 80335084477447 241005253432341