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402142302232 = 2311191395693041
BaseRepresentation
bin1011101101000011000…
…11001001000000011000
31102102222222200121011221
411312201203021000120
523042041412132412
6504424105101424
741024314112056
oct5664143110030
91372888617157
10402142302232
11145602933810
1265b30787874
132bbca41a8b8
141566c9011d6
15a6d9a19b07
hex5da18c9018

402142302232 has 128 divisors (see below), whose sum is σ = 873905760000. Its totient is φ = 171566899200.

The previous prime is 402142302179. The next prime is 402142302269. The reversal of 402142302232 is 232203241204.

It is a junction number, because it is equal to n+sod(n) for n = 402142302197 and 402142302206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132238632 + ... + 132241672.

It is an arithmetic number, because the mean of its divisors is an integer number (6827388750).

Almost surely, 2402142302232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402142302232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436952880000).

402142302232 is an abundant number, since it is smaller than the sum of its proper divisors (471763457768).

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

402142302232 is a wasteful number, since it uses less digits than its factorization.

402142302232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3781 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 25.

Adding to 402142302232 its reverse (232203241204), we get a palindrome (634345543436).

The spelling of 402142302232 in words is "four hundred two billion, one hundred forty-two million, three hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 139 152 209 278 418 556 569 836 1112 1138 1529 1672 2276 2641 3041 3058 4552 5282 6082 6116 6259 10564 10811 12164 12232 12518 21128 21622 24328 25036 29051 33451 43244 50072 57779 58102 66902 79091 86488 115558 116204 118921 133804 158182 231116 232408 237842 267608 316364 422699 462232 475684 632728 635569 845398 870001 951368 1271138 1502729 1690796 1730329 1740002 2542276 3005458 3381592 3460658 3480004 4649689 5084552 6010916 6921316 6960008 8031281 9299378 12021832 13842632 16062562 16530019 18598756 19033619 32125124 32876251 33060038 37197512 38067238 64250248 65752502 66120076 76134476 88344091 131505004 132240152 152268952 176688182 240515731 263010008 353376364 361638761 481031462 706752728 723277522 962062924 1446555044 1924125848 2645673041 2893110088 4569798889 5291346082 9139597778 10582692164 18279195556 21165384328 36558391112 50267787779 100535575558 201071151116 402142302232