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40412431422 = 232112910916451
BaseRepresentation
bin100101101000110001…
…001100010000111110
310212022102010020001100
4211220301030100332
51130231040301142
630322030353530
72630312666526
oct455061142076
9125272106040
1040412431422
1116158844960
1279ba05b8a6
133a7065731c
141d5528a686
1510b7d03b4c
hex968c4c43e

40412431422 has 96 divisors (see below), whose sum is σ = 98919999360. Its totient is φ = 11811240000.

The previous prime is 40412431351. The next prime is 40412431447. The reversal of 40412431422 is 22413421404.

40412431422 is a `hidden beast` number, since 404 + 1 + 243 + 14 + 2 + 2 = 666.

It is a super-2 number, since 2×404124314222 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6261297 + ... + 6267747.

It is an arithmetic number, because the mean of its divisors is an integer number (1030416660).

Almost surely, 240412431422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40412431422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49459999680).

40412431422 is an abundant number, since it is smaller than the sum of its proper divisors (58507567938).

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

40412431422 is a wasteful number, since it uses less digits than its factorization.

40412431422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7590 (or 7587 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 40412431422 its reverse (22413421404), we get a palindrome (62825852826).

The spelling of 40412431422 in words is "forty billion, four hundred twelve million, four hundred thirty-one thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 29 33 58 66 87 99 174 198 261 319 522 638 957 1091 1914 2182 2871 3273 5742 6451 6546 9819 12001 12902 19353 19638 24002 31639 36003 38706 58059 63278 70961 72006 94917 108009 116118 141922 187079 189834 212883 216018 284751 348029 374158 425766 561237 569502 638649 696058 1044087 1122474 1277298 1683711 2057869 2088174 3132261 3367422 4115738 6173607 6264522 7038041 12347214 14076082 18520821 21114123 37041642 42228246 63342369 77418451 126684738 154836902 204103189 232255353 408206378 464510706 612309567 696766059 1224619134 1393532118 1836928701 2245135079 3673857402 4490270158 6735405237 13470810474 20206215711 40412431422