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231436441680 = 24351097987833
BaseRepresentation
bin1101011110001010101…
…1111101100001010000
3211010101012111101102020
43113202223331201100
512242440212113210
6254153114051440
722502132203323
oct3274253754120
9733335441366
10231436441680
118a173924114
1238a2b719b80
1318a94181a62
14b2b72067ba
156048240770
hex35e2afd850

231436441680 has 80 divisors (see below), whose sum is σ = 717526486080. Its totient is φ = 61710060544.

The previous prime is 231436441679. The next prime is 231436441681. The reversal of 231436441680 is 86144634132.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (231436441679) and next prime (231436441681).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231436441681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2591044 + ... + 2678876.

It is an arithmetic number, because the mean of its divisors is an integer number (8969081076).

Almost surely, 2231436441680 is an apocalyptic number.

231436441680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231436441680 is an abundant number, since it is smaller than the sum of its proper divisors (486090044400).

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

231436441680 is a wasteful number, since it uses less digits than its factorization.

231436441680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98828 (or 98822 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 231436441680 in words is "two hundred thirty-one billion, four hundred thirty-six million, four hundred forty-one thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 10979 21958 32937 43916 54895 65874 87832 87833 109790 131748 164685 175664 175666 219580 263496 263499 329370 351332 439160 439165 526992 526998 658740 702664 878320 878330 1053996 1317480 1317495 1405328 1756660 2107992 2634960 2634990 3513320 4215984 5269980 7026640 10539960 21079920 964318507 1928637014 2892955521 3857274028 4821592535 5785911042 7714548056 9643185070 11571822084 14464777605 15429096112 19286370140 23143644168 28929555210 38572740280 46287288336 57859110420 77145480560 115718220840 231436441680