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431442487422 = 234198910914449
BaseRepresentation
bin1100100011100111111…
…10011110100001111110
31112020121222011020010000
412101303332132201332
524032043234044142
6530111341455130
743112355430362
oct6216376364176
91466558136100
10431442487422
11156a790445a1
126b7492714a6
13318b980999b
1416c4c01d2a2
15b351eab14c
hex6473f9e87e

431442487422 has 160 divisors (see below), whose sum is σ = 1038579300000. Its totient is φ = 133469005824.

The previous prime is 431442487409. The next prime is 431442487457. The reversal of 431442487422 is 224784244134.

431442487422 is a `hidden beast` number, since 4 + 3 + 144 + 2 + 4 + 87 + 422 = 666.

It is a super-4 number, since 4×4314424874224 (a number of 48 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 29852454 + ... + 29866902.

It is an arithmetic number, because the mean of its divisors is an integer number (6491120625).

Almost surely, 2431442487422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431442487422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519289650000).

431442487422 is an abundant number, since it is smaller than the sum of its proper divisors (607136812578).

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

431442487422 is a wasteful number, since it uses less digits than its factorization.

431442487422 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14680 (or 14671 counting only the distinct ones).

The product of its digits is 1376256, while the sum is 45.

The spelling of 431442487422 in words is "four hundred thirty-one billion, four hundred forty-two million, four hundred eighty-seven thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 89 109 114 162 171 178 218 267 327 342 513 534 654 801 981 1026 1539 1602 1691 1962 2071 2403 2943 3078 3382 4142 4806 5073 5886 6213 7209 8829 9701 10146 12426 14418 14449 15219 17658 18639 19402 28898 29103 30438 37278 43347 45657 55917 58206 86694 87309 91314 111834 130041 136971 167751 174618 184319 260082 261927 273942 274531 335502 368638 390123 523854 549062 552957 780246 785781 823593 1105914 1170369 1285961 1571562 1574941 1647186 1658871 2340738 2470779 2571922 3149882 3317742 3857883 4724823 4941558 4976613 7412337 7715766 9449646 9953226 11573649 14174469 14824674 14929839 22237011 23147298 24433259 28348938 29859678 29923879 34720947 42523407 44474022 48866518 59847758 69441894 73299777 85046814 89771637 104162841 127570221 140169749 146599554 179543274 208325682 219899331 255140442 269314911 280339498 420509247 439798662 538629822 659697993 807944733 841018494 1261527741 1319395986 1615889466 1979093979 2423834199 2523055482 2663225231 3784583223 3958187958 4847668398 5326450462 7569166446 7989675693 11353749669 15979351386 22707499338 23969027079 47938054158 71907081237 143814162474 215721243711 431442487422