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402142032424 = 2311178311328661
BaseRepresentation
bin1011101101000011000…
…10000111001000101000
31102102222222011220002001
411312201202013020220
523042041330014144
6504424055220344
741024311606336
oct5664142071050
91372888156061
10402142032424
1114560276a030
1265b306776b4
132bbca354b52
141566c870b56
15a6d99b4bd4
hex5da1887228

402142032424 has 128 divisors (see below), whose sum is σ = 889274090880. Its totient is φ = 168456601600.

The previous prime is 402142032421. The next prime is 402142032443. The reversal of 402142032424 is 424230241204.

It is a junction number, because it is equal to n+sod(n) for n = 402142032392 and 402142032401.

It is not an unprimeable number, because it can be changed into a prime (402142032421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14016654 + ... + 14045314.

It is an arithmetic number, because the mean of its divisors is an integer number (6947453835).

Almost surely, 2402142032424 is an apocalyptic number.

402142032424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402142032424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444637045440).

402142032424 is an abundant number, since it is smaller than the sum of its proper divisors (487132058456).

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

402142032424 is a wasteful number, since it uses less digits than its factorization.

402142032424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28891 (or 28887 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 402142032424 its reverse (424230241204), we get a palindrome (826372273628).

The spelling of 402142032424 in words is "four hundred two billion, one hundred forty-two million, thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 83 88 113 136 166 187 226 332 374 452 664 748 904 913 1243 1411 1496 1826 1921 2486 2822 3652 3842 4972 5644 7304 7684 9379 9944 11288 15368 15521 18758 21131 28661 31042 37516 42262 57322 62084 75032 84524 103169 114644 124168 159443 169048 206338 229288 315271 318886 412676 487237 630542 637772 825352 974474 1261084 1275544 1753873 1948948 2378863 2522168 3238693 3507746 3897896 4757726 5359607 6477386 7015492 9515452 10719214 12954772 14030984 19030904 21438428 25909544 26167493 35625623 40440671 42876856 52334986 55057781 71251246 80881342 104669972 110115562 142502492 161762684 209339944 220231124 268811519 285004984 323525368 440462248 444847381 537623038 605635591 889694762 1075246076 1211271182 1779389524 2150492152 2422542364 2956926709 3558779048 4569795823 4845084728 5913853418 9139591646 11827706836 18279183292 23655413672 36558366584 50267754053 100535508106 201071016212 402142032424