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312433442040 = 23359726841361
BaseRepresentation
bin1001000101111100111…
…10111111110011111000
31002212110000122022210110
410202332132333303320
520104330430121130
6355310244544320
731400251303446
oct4427636776370
91085400568713
10312433442040
11110558595335
12506753b20a0
1323601a135c5
141119c54bb96
1581d8eebab0
hex48be7bfcf8

312433442040 has 64 divisors (see below), whose sum is σ = 946963251360. Its totient is φ = 82456657920.

The previous prime is 312433442033. The next prime is 312433442051. The reversal of 312433442040 is 40244334213.

It is a happy number.

It is a super-2 number, since 2×3124334420402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312433441989 and 312433442007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13409041 + ... + 13432320.

Almost surely, 2312433442040 is an apocalyptic number.

312433442040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312433442040 is an abundant number, since it is smaller than the sum of its proper divisors (634529809320).

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

312433442040 is a wasteful number, since it uses less digits than its factorization.

312433442040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26841472 (or 26841468 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 312433442040 its reverse (40244334213), we get a palindrome (352677776253).

The spelling of 312433442040 in words is "three hundred twelve billion, four hundred thirty-three million, four hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 97 120 194 291 388 485 582 776 970 1164 1455 1940 2328 2910 3880 5820 11640 26841361 53682722 80524083 107365444 134206805 161048166 214730888 268413610 322096332 402620415 536827220 644192664 805240830 1073654440 1610481660 2603612017 3220963320 5207224034 7810836051 10414448068 13018060085 15621672102 20828896136 26036120170 31243344204 39054180255 52072240340 62486688408 78108360510 104144480680 156216721020 312433442040