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231543655440 = 24351019552131
BaseRepresentation
bin1101011110100100010…
…0111100110000010000
3211010122200020102001020
43113221010330300100
512243200133433230
6254211504035440
722504603412016
oct3275104746020
9733580212036
10231543655440
118a2193a2429
1238a5b602b80
1318ab044cb56
14b2c75548b6
15605286c810
hex35e913cc10

231543655440 has 80 divisors (see below), whose sum is σ = 724892193216. Its totient is φ = 61133632000.

The previous prime is 231543655429. The next prime is 231543655451. The reversal of 231543655440 is 44556345132.

It is an interprime number because it is at equal distance from previous prime (231543655429) and next prime (231543655451).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×2315436554402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 231543655392 and 231543655401.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 4751826 + ... + 4800305.

Almost surely, 2231543655440 is an apocalyptic number.

231543655440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231543655440 is an abundant number, since it is smaller than the sum of its proper divisors (493348537776).

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

231543655440 is a wasteful number, since it uses less digits than its factorization.

231543655440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9552248 (or 9552242 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 231543655440 in words is "two hundred thirty-one billion, five hundred forty-three million, six hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 2020 2424 3030 4040 4848 6060 8080 12120 24240 9552131 19104262 28656393 38208524 47760655 57312786 76417048 95521310 114625572 143281965 152834096 191042620 229251144 286563930 382085240 458502288 573127860 764170480 964765231 1146255720 1929530462 2292511440 2894295693 3859060924 4823826155 5788591386 7718121848 9647652310 11577182772 14471478465 15436243696 19295304620 23154365544 28942956930 38590609240 46308731088 57885913860 77181218480 115771827720 231543655440