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540454162542 = 237173836592999
BaseRepresentation
bin1111101110101011001…
…01000001000001101110
31220200000011212002121220
413313111211001001232
532323322231200132
61052140424204210
754021646404240
oct7672545010156
91820004762556
10540454162542
11199229315588
12888b1009666
133bc70326868
141c22dc54090
15e0d242ba2c
hex7dd594106e

540454162542 has 128 divisors (see below), whose sum is σ = 1313832960000. Its totient is φ = 144684535296.

The previous prime is 540454162529. The next prime is 540454162543. The reversal of 540454162542 is 245261454045.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 540454162494 and 540454162503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (540454162543) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 180209959 + ... + 180212957.

It is an arithmetic number, because the mean of its divisors is an integer number (10264320000).

Almost surely, 2540454162542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 540454162542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656916480000).

540454162542 is an abundant number, since it is smaller than the sum of its proper divisors (773378797458).

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

540454162542 is a wasteful number, since it uses less digits than its factorization.

540454162542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4070.

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 540454162542 in words is "five hundred forty billion, four hundred fifty-four million, one hundred sixty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 383 659 714 766 1149 1318 1977 2298 2681 2999 3954 4613 5362 5998 6511 8043 8997 9226 11203 13022 13839 16086 17994 19533 20993 22406 27678 33609 39066 41986 45577 50983 62979 67218 78421 91154 101966 125958 136731 152949 156842 235263 252397 273462 305898 356881 470526 504794 713762 757191 1070643 1148617 1514382 1766779 1976341 2141286 2297234 3445851 3533558 3952682 4290749 5300337 5929023 6891702 8040319 8581498 10600674 11858046 12872247 13834387 16080638 19526489 24120957 25744494 27668774 30035243 33597797 39052978 41503161 48241914 58579467 60070486 67195594 83006322 90105729 100793391 117158934 136685423 180211458 201586782 235184579 273370846 410056269 470369158 705553737 756938603 820112538 1411107474 1513877206 2270815809 4541631618 5298570221 10597140442 12867956251 15895710663 25735912502 31791421326 38603868753 77207737506 90075693757 180151387514 270227081271 540454162542