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1321035504240 = 243538914149909
BaseRepresentation
bin10011001110010011110…
…110100001101001110000
311200021211020100210020210
4103032103312201221300
5133120440042113430
62450513023304120
7164304330341154
oct23162366415160
94607736323223
101321035504240
1146a280114941
1219403814b040
139775b19067a
1447d1d1c1064
152456aa372b0
hex13393da1a70

1321035504240 has 80 divisors (see below), whose sum is σ = 4105737885600. Its totient is φ = 351370515456.

The previous prime is 1321035504193. The next prime is 1321035504251. The reversal of 1321035504240 is 424055301231.

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

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 = 1321035504198 and 1321035504207.

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, 6981595 + ... + 7168314.

It is an arithmetic number, because the mean of its divisors is an integer number (51321723570).

Almost surely, 21321035504240 is an apocalyptic number.

1321035504240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1321035504240 is an abundant number, since it is smaller than the sum of its proper divisors (2784702381360).

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

1321035504240 is a wasteful number, since it uses less digits than its factorization.

1321035504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14150314 (or 14150308 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1321035504240 in words is "one trillion, three hundred twenty-one billion, thirty-five million, five hundred four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 389 778 1167 1556 1945 2334 3112 3890 4668 5835 6224 7780 9336 11670 15560 18672 23340 31120 46680 93360 14149909 28299818 42449727 56599636 70749545 84899454 113199272 141499090 169798908 212248635 226398544 282998180 339597816 424497270 565996360 679195632 848994540 1131992720 1697989080 3395978160 5504314601 11008629202 16512943803 22017258404 27521573005 33025887606 44034516808 55043146010 66051775212 82564719015 88069033616 110086292020 132103550424 165129438030 220172584040 264207100848 330258876060 440345168080 660517752120 1321035504240