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234104511040 = 2651093669329
BaseRepresentation
bin1101101000000110110…
…1110101101001000000
3211101021010221100111221
43122001231311221000
512313421223323130
6255313544044424
722625220340231
oct3320155655100
9741233840457
10234104511040
1190312991114
1239455163714
13190cab6881a
14b48b6c7088
1561525b987a
hex3681b75a40

234104511040 has 56 divisors (see below), whose sum is σ = 557972229240. Its totient is φ = 93555990528.

The previous prime is 234104511031. The next prime is 234104511049. The reversal of 234104511040 is 40115401432.

It is an interprime number because it is at equal distance from previous prime (234104511031) and next prime (234104511049).

It can be written as a sum of positive squares in 4 ways, for example, as 15918364224 + 218186146816 = 126168^2 + 467104^2 .

It is a junction number, because it is equal to n+sod(n) for n = 234104510996 and 234104511014.

It is not an unprimeable number, because it can be changed into a prime (234104511049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15096 + ... + 684424.

Almost surely, 2234104511040 is an apocalyptic number.

234104511040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

234104511040 is an abundant number, since it is smaller than the sum of its proper divisors (323867718200).

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

234104511040 is a wasteful number, since it uses less digits than its factorization.

234104511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670439 (or 670429 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 234104511040 its reverse (40115401432), we get a palindrome (274219912472).

The spelling of 234104511040 in words is "two hundred thirty-four billion, one hundred four million, five hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 1093 2186 4372 5465 8744 10930 17488 21860 34976 43720 69952 87440 174880 349760 669329 1338658 2677316 3346645 5354632 6693290 10709264 13386580 21418528 26773160 42837056 53546320 107092640 214185280 731576597 1463153194 2926306388 3657882985 5852612776 7315765970 11705225552 14631531940 23410451104 29263063880 46820902208 58526127760 117052255520 234104511040