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241011131041152 = 2732209211051251
BaseRepresentation
bin110110110011001011000110…
…110110100100010110000000
31011121100102212002222222021100
4312303023012312210112000
5223042211244021304102
62212330552441054400
7101523323334411363
oct6663130666442600
91147312762888240
10241011131041152
116a88027936427a
12230456a4187400
13a463337c3b154
1443730029a80da
151cce3bc848a1c
hexdb32c6da4580

241011131041152 has 48 divisors (see below), whose sum is σ = 693534634900380. Its totient is φ = 80337043680000.

The previous prime is 241011131041151. The next prime is 241011131041169. The reversal of 241011131041152 is 251140131110142.

241011131041152 is a `hidden beast` number, since 2 + 410 + 1 + 1 + 131 + 0 + 4 + 115 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2410111310411522 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241011131041151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 104605524474 + ... + 104605526777.

Almost surely, 2241011131041152 is an apocalyptic number.

It is an amenable number.

241011131041152 is an abundant number, since it is smaller than the sum of its proper divisors (452523503859228).

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

241011131041152 is a wasteful number, since it uses less digits than its factorization.

241011131041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209211051271 (or 209211051256 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 241011131041152 its reverse (251140131110142), we get a palindrome (492151262151294).

The spelling of 241011131041152 in words is "two hundred forty-one trillion, eleven billion, one hundred thirty-one million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 209211051251 418422102502 627633153753 836844205004 1255266307506 1673688410008 1882899461259 2510532615012 3347376820016 3765798922518 5021065230024 6694753640032 7531597845036 10042130460048 13389507280064 15063195690072 20084260920096 26779014560128 30126391380144 40168521840192 60252782760288 80337043680384 120505565520576 241011131041152