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542241140526 = 2321723431791739
BaseRepresentation
bin1111110010000000001…
…01110010111100101110
31220211121201100222120200
413321000011302330232
532341002212444101
61053034021254330
754114145434501
oct7710005627456
91824551328520
10542241140526
11199a65a95598
128910b5643a6
133c196607697
141c35d2db138
15e189261986
hex7e40172f2e

542241140526 has 96 divisors (see below), whose sum is σ = 1328238362880. Its totient is φ = 158934327552.

The previous prime is 542241140513. The next prime is 542241140533. The reversal of 542241140526 is 625041142245.

542241140526 is a `hidden beast` number, since 5 + 4 + 2 + 241 + 1 + 405 + 2 + 6 = 666.

It is a super-3 number, since 3×5422411405263 (a number of 36 digits) contains 333 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, 593236 + ... + 1198503.

It is an arithmetic number, because the mean of its divisors is an integer number (13835816280).

Almost surely, 2542241140526 is an apocalyptic number.

542241140526 is an abundant number, since it is smaller than the sum of its proper divisors (785997222354).

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

542241140526 is a wasteful number, since it uses less digits than its factorization.

542241140526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791830 (or 1791827 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 542241140526 in words is "five hundred forty-two billion, two hundred forty-one million, one hundred forty thousand, five hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 23 34 43 46 51 69 86 102 129 138 153 207 258 306 387 391 414 731 774 782 989 1173 1462 1978 2193 2346 2967 3519 4386 5934 6579 7038 8901 13158 16813 17802 33626 50439 100878 151317 302634 1791739 3583478 5375217 10750434 16125651 30459563 32251302 41209997 60919126 77044777 82419994 91378689 123629991 154089554 182757378 231134331 247259982 274136067 370889973 462268662 548272134 693402993 700569949 741779946 1309761209 1386805986 1401139898 1772029871 2101709847 2619522418 3544059742 3929283627 4203419694 5316089613 6305129541 7858567254 10632179226 11787850881 12610259082 15948268839 23575701762 30124507807 31896537678 60249015614 90373523421 180747046842 271120570263 542241140526