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1312042322040 = 2335171016367901
BaseRepresentation
bin10011000101111011110…
…100010000100001111000
311122102121111002210111120
4103011323310100201320
5132444030313301130
62442424404225240
7163535426504112
oct23057364204170
94572544083446
101312042322040
1146648575aa5a
1219234839b220
1396956c59698
1447708a623b2
15241e1255910
hex1317bd10878

1312042322040 has 128 divisors (see below), whose sum is σ = 4208928505920. Its totient is φ = 326036480000.

The previous prime is 1312042322029. The next prime is 1312042322053. The reversal of 1312042322040 is 402232402131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1312042322040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2977911 + ... + 3389990.

Almost surely, 21312042322040 is an apocalyptic number.

1312042322040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1312042322040 is an abundant number, since it is smaller than the sum of its proper divisors (2896886183880).

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

1312042322040 is a wasteful number, since it uses less digits than its factorization.

1312042322040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6368033 (or 6368029 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 1312042322040 its reverse (402232402131), we get a palindrome (1714274724171).

The spelling of 1312042322040 in words is "one trillion, three hundred twelve billion, forty-two million, three hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 101 102 120 136 170 202 204 255 303 340 404 408 505 510 606 680 808 1010 1020 1212 1515 1717 2020 2040 2424 3030 3434 4040 5151 6060 6868 8585 10302 12120 13736 17170 20604 25755 34340 41208 51510 68680 103020 206040 6367901 12735802 19103703 25471604 31839505 38207406 50943208 63679010 76414812 95518515 108254317 127358020 152829624 191037030 216508634 254716040 324762951 382074060 433017268 541271585 643158001 649525902 764148120 866034536 1082543170 1286316002 1299051804 1623814755 1929474003 2165086340 2572632004 2598103608 3215790005 3247629510 3858948006 4330172680 5145264008 6431580010 6495259020 7717896012 9647370015 10933686017 12863160020 12990518040 15435792024 19294740030 21867372034 25726320040 32801058051 38589480060 43734744068 54668430085 65602116102 77178960120 87469488136 109336860170 131204232204 164005290255 218673720340 262408464408 328010580510 437347440680 656021161020 1312042322040