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2402400985642 = 27291031572771321
BaseRepresentation
bin100010111101011010010…
…000011110001000101010
322111200000110021221002001
4202331122100132020222
5303330104123020032
65035351530401214
7335365510306150
oct42753220361052
98450013257061
102402400985642
118469417a9239
1232972729020a
13145712444b78
14843c388b3d0
154275a5943e7
hex22f5a41e22a

2402400985642 has 128 divisors (see below), whose sum is σ = 4348096496640. Its totient is φ = 973906053120.

The previous prime is 2402400985637. The next prime is 2402400985669. The reversal of 2402400985642 is 2465890042042.

It is a junction number, because it is equal to n+sod(n) for n = 2402400985592 and 2402400985601.

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 63 ways as a sum of consecutive naturals, for example, 1818622342 + ... + 1818623662.

It is an arithmetic number, because the mean of its divisors is an integer number (33969503880).

Almost surely, 22402400985642 is an apocalyptic number.

2402400985642 is a deficient number, since it is larger than the sum of its proper divisors (1945695510998).

2402400985642 is a wasteful number, since it uses less digits than its factorization.

2402400985642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1896.

The product of its (nonzero) digits is 1105920, while the sum is 46.

The spelling of 2402400985642 in words is "two trillion, four hundred two billion, four hundred million, nine hundred eighty-five thousand, six hundred forty-two".

Divisors: 1 2 7 14 29 58 103 157 203 206 277 314 406 554 721 1099 1321 1442 1939 2198 2642 2987 3878 4553 5974 8033 9106 9247 16066 16171 18494 20909 28531 31871 32342 38309 41818 43489 56231 57062 63742 76618 86978 112462 113197 136063 199717 207397 226394 268163 272126 304423 365917 399434 414794 468959 536326 608846 731834 827399 937918 952441 1261181 1451779 1654798 1904882 2522362 2561419 2903558 3282713 3945827 4479367 5122838 5791793 6014513 6565426 7891654 8828267 8958734 10611593 11583586 12029026 17656534 21223186 21361891 27620789 31355569 37689451 42101591 42723782 55241578 57448969 62711138 74281151 75378902 84203182 114897938 129901643 148562302 149533237 259803286 263826157 299066474 402142783 527652314 619494839 804285566 909311501 1092994079 1238989678 1666020101 1818623002 2185988158 3332040202 4336463873 5917243807 7650958553 8672927746 11662140707 11834487614 15301917106 23324281414 41420706649 82841413298 171600070403 343200140806 1201200492821 2402400985642