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542355744240 = 243254716027061
BaseRepresentation
bin1111110010001101110…
…10111110010111110000
31220211220201000110022200
413321012322332113300
532341221032303430
61053053233503200
754120036522222
oct7710672762760
91824821013280
10542355744240
1119a014751002
1289141a11b00
133c1b429232b
141c370610412
15e19434d460
hex7e46ebe5f0

542355744240 has 120 divisors (see below), whose sum is σ = 1860164923968. Its totient is φ = 141550993920.

The previous prime is 542355744233. The next prime is 542355744247. The reversal of 542355744240 is 42447553245.

542355744240 is a `hidden beast` number, since 5 + 4 + 2 + 35 + 574 + 4 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (542355744233) and next prime (542355744247).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542355744247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7979691 + ... + 8047370.

Almost surely, 2542355744240 is an apocalyptic number.

It is an amenable number.

542355744240 is an abundant number, since it is smaller than the sum of its proper divisors (1317809179728).

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

542355744240 is a wasteful number, since it uses less digits than its factorization.

542355744240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16027127 (or 16027118 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 45.

The spelling of 542355744240 in words is "five hundred forty-two billion, three hundred fifty-five million, seven hundred forty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 47 48 60 72 80 90 94 120 141 144 180 188 235 240 282 360 376 423 470 564 705 720 752 846 940 1128 1410 1692 1880 2115 2256 2820 3384 3760 4230 5640 6768 8460 11280 16920 33840 16027061 32054122 48081183 64108244 80135305 96162366 128216488 144243549 160270610 192324732 240405915 256432976 288487098 320541220 384649464 480811830 576974196 641082440 721217745 753271867 769298928 961623660 1153948392 1282164880 1442435490 1506543734 1923247320 2259815601 2307896784 2884870980 3013087468 3766359335 3846494640 4519631202 5769741960 6026174936 6779446803 7532718670 9039262404 11299078005 11539483920 12052349872 13558893606 15065437340 18078524808 22598156010 27117787212 30130874680 33897234015 36157049616 45196312020 54235574424 60261749360 67794468030 90392624040 108471148848 135588936060 180785248080 271177872120 542355744240