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241435130670432 = 25321289650361851
BaseRepresentation
bin110110111001010101111111…
…001100110010110101100000
31011122211222021101002211102200
4312321111333030302311200
5223121133121422423212
62213253433504413200
7101566053415660146
oct6671257714626540
91148758241084380
10241435130670432
116aa24078076336
12230b38b4917200
13a494309775b5a
14438974630b596
151cda4361ad6dc
hexdb957f332d60

241435130670432 has 72 divisors (see below), whose sum is σ = 687113800256520. Its totient is φ = 80415942028800.

The previous prime is 241435130670413. The next prime is 241435130670467. The reversal of 241435130670432 is 234076031534142.

241435130670432 is a `hidden beast` number, since 2 + 4 + 1 + 43 + 513 + 0 + 67 + 0 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 324809694 + ... + 325552157.

It is an arithmetic number, because the mean of its divisors is an integer number (9543247225785).

Almost surely, 2241435130670432 is an apocalyptic number.

It is an amenable number.

241435130670432 is an abundant number, since it is smaller than the sum of its proper divisors (445678669586088).

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

241435130670432 is a wasteful number, since it uses less digits than its factorization.

241435130670432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650363156 (or 650363145 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 241435130670432 in words is "two hundred forty-one trillion, four hundred thirty-five billion, one hundred thirty million, six hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1289 2578 3867 5156 7734 10312 11601 15468 20624 23202 30936 41248 46404 61872 92808 123744 185616 371232 650361851 1300723702 1951085553 2601447404 3902171106 5202894808 5853256659 7804342212 10405789616 11706513318 15608684424 20811579232 23413026636 31217368848 46826053272 62434737696 93652106544 187304213088 838316425939 1676632851878 2514949277817 3353265703756 5029898555634 6706531407512 7544847833451 10059797111268 13413062815024 15089695666902 20119594222536 26826125630048 30179391333804 40239188445072 60358782667608 80478376890144 120717565335216 241435130670432