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1314500342350 = 2521317312123787
BaseRepresentation
bin10011001000001110010…
…100110111001001001110
311122122221210022011110211
4103020032110313021032
5133014044041423400
62443512332153034
7163653354361066
oct23101624671116
94578853264424
101314500342350
114675271a0aa8
1219291360877a
1396c5927b180
144789d2a63a6
15242d6e3cdba
hex1320e53724e

1314500342350 has 144 divisors (see below), whose sum is σ = 2880787899024. Its totient is φ = 442064563200.

The previous prime is 1314500342327. The next prime is 1314500342357. The reversal of 1314500342350 is 532430054131.

It is a super-2 number, since 2×13145003423502 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1314500342357) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 10557157 + ... + 10680943.

It is an arithmetic number, because the mean of its divisors is an integer number (20005471521).

Almost surely, 21314500342350 is an apocalyptic number.

1314500342350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314500342350 is an abundant number, since it is smaller than the sum of its proper divisors (1566287556674).

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

1314500342350 is a wasteful number, since it uses less digits than its factorization.

1314500342350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123891 (or 123855 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

Adding to 1314500342350 its reverse (532430054131), we get a palindrome (1846930396481).

The spelling of 1314500342350 in words is "one trillion, three hundred fourteen billion, five hundred million, three hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 5 10 13 17 25 26 31 34 50 62 65 85 130 155 170 221 310 325 403 425 442 527 650 775 806 850 961 1054 1105 1550 1922 2015 2210 2635 4030 4805 5270 5525 6851 9610 10075 11050 12493 13175 13702 16337 20150 24025 24986 26350 32674 34255 48050 62465 68510 81685 123787 124930 163370 171275 212381 247574 312325 342550 408425 424762 618935 624650 816850 1061905 1237870 1609231 2104379 2123810 3094675 3218462 3837397 4208758 5309525 6189350 7674794 8046155 10521895 10619050 16092310 19186985 21043790 27356927 38373970 40230775 49886161 52609475 54713854 65235749 80461550 95934925 99772322 105218950 118959307 130471498 136784635 191869850 237918614 249430805 273569270 326178745 498861610 594796535 652357490 683923175 848064737 1189593070 1247154025 1367846350 1546470991 1630893725 1696129474 2022308219 2494308050 2973982675 3092941982 3261787450 4044616438 4240323685 5947965350 7732354955 8480647370 10111541095 15464709910 20223082190 21201618425 26290006847 38661774775 42403236850 50557705475 52580013694 77323549550 101115410950 131450034235 262900068470 657250171175 1314500342350