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143917504434 = 23411375633877
BaseRepresentation
bin1000011000001000100…
…1101101011110110010
3111202110212011201120000
42012002021231132302
54324220340120214
6150040443330430
713253260414014
oct2060211553662
9452425151500
10143917504434
1156042752210
1223a85820a16
131075738b462
146d73a2a1b4
153b24aed809
hex218226d7b2

143917504434 has 160 divisors (see below), whose sum is σ = 362041517376. Its totient is φ = 42346385280.

The previous prime is 143917504429. The next prime is 143917504457. The reversal of 143917504434 is 434405719341.

It is a happy number.

143917504434 is a `hidden beast` number, since 1 + 4 + 39 + 175 + 0 + 443 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 143917504434.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37118904 + ... + 37122780.

Almost surely, 2143917504434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 143917504434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181020758688).

143917504434 is an abundant number, since it is smaller than the sum of its proper divisors (218124012942).

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

143917504434 is a wasteful number, since it uses less digits than its factorization.

143917504434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4502 (or 4493 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 143917504434 in words is "one hundred forty-three billion, nine hundred seventeen million, five hundred four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 37 54 66 74 81 99 111 162 198 222 297 333 407 563 594 666 814 891 999 1126 1221 1689 1782 1998 2442 2997 3378 3663 3877 5067 5994 6193 7326 7754 10134 10989 11631 12386 15201 18579 20831 21978 23262 30402 32967 34893 37158 41662 42647 45603 55737 62493 65934 69786 85294 91206 104679 111474 124986 127941 143449 167211 187479 209358 229141 255882 286898 314037 334422 374958 383823 430347 458282 501633 562437 628074 687423 767646 860694 1003266 1124874 1151469 1291041 1374846 1577939 1687311 2062269 2182751 2302938 2582082 3155878 3374622 3454407 3873123 4124538 4365502 4733817 6186807 6548253 6908814 7746246 9467634 11619369 12373614 13096506 14201451 18560421 19644759 23238738 24010261 28402902 37120842 39289518 42604353 48020522 58934277 72030783 80761787 85208706 117868554 127813059 144061566 161523574 176802831 216092349 242285361 255626118 353605662 432184698 484570722 648277047 726856083 888379657 1296554094 1453712166 1776759314 1944831141 2180568249 2665138971 3889662282 4361136498 5330277942 6541704747 7995416913 13083409494 15990833826 23986250739 47972501478 71958752217 143917504434