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235313276040 = 23335317028473
BaseRepresentation
bin1101101100100111000…
…0111010010010001000
3211111101101102222101000
43123021300322102020
512323410144313130
6300033524055000
723000165562363
oct3331160722210
9744341388330
10235313276040
1190883234157
1239731b34460
131926140b69b
14b5640590da
1561c3787260
hex36c9c3a488

235313276040 has 128 divisors (see below), whose sum is σ = 809680204800. Its totient is φ = 60725998080.

The previous prime is 235313275979. The next prime is 235313276063. The reversal of 235313276040 is 40672313532.

235313276040 is a `hidden beast` number, since 2 + 3 + 531 + 3 + 27 + 60 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 235313275986 and 235313276004.

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 31 ways as a sum of consecutive naturals, for example, 3480757 + ... + 3547716.

It is an arithmetic number, because the mean of its divisors is an integer number (6325626600).

Almost surely, 2235313276040 is an apocalyptic number.

235313276040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

235313276040 is an abundant number, since it is smaller than the sum of its proper divisors (574366928760).

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

235313276040 is a wasteful number, since it uses less digits than its factorization.

235313276040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7028524 (or 7028514 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 235313276040 its reverse (40672313532), we get a palindrome (275985589572).

The spelling of 235313276040 in words is "two hundred thirty-five billion, three hundred thirteen million, two hundred seventy-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 7028473 14056946 21085419 28113892 35142365 42170838 56227784 63256257 70284730 84341676 105427095 126512514 140569460 168683352 189768771 210854190 217882663 253025028 281138920 316281285 379537542 421708380 435765326 506050056 632562570 653647989 759075084 843416760 871530652 948843855 1089413315 1265125140 1307295978 1518150168 1743061304 1897687710 1960943967 2178826630 2530250280 2614591956 3268239945 3795375420 3921887934 4357653260 5229183912 5882831901 6536479890 7590750840 7843775868 8715306520 9804719835 11765663802 13072959780 15687551736 19609439670 23531327604 26145919560 29414159505 39218879340 47062655208 58828319010 78437758680 117656638020 235313276040