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542150303355 = 335171074574831
BaseRepresentation
bin1111110001110101010…
…11010001111001111011
31220211101101102222102000
413320322223101321323
532340310434201410
61053021014312043
754111663354213
oct7707253217173
91824341388360
10542150303355
11199a19792251
12890a5058623
133c18085168b
141c351213243
15e1812bbdc0
hex7e3aad1e7b

542150303355 has 128 divisors (see below), whose sum is σ = 1032523407360. Its totient is φ = 268949237760.

The previous prime is 542150303347. The next prime is 542150303377. The reversal of 542150303355 is 553303051245.

542150303355 is a `hidden beast` number, since 54 + 21 + 503 + 0 + 33 + 55 = 666.

It is not a de Polignac number, because 542150303355 - 23 = 542150303347 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 112220790 + ... + 112225620.

It is an arithmetic number, because the mean of its divisors is an integer number (8066589120).

Almost surely, 2542150303355 is an apocalyptic number.

542150303355 is a deficient number, since it is larger than the sum of its proper divisors (490373104005).

542150303355 is a wasteful number, since it uses less digits than its factorization.

542150303355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5426 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

The spelling of 542150303355 in words is "five hundred forty-two billion, one hundred fifty million, three hundred three thousand, three hundred fifty-five".

Divisors: 1 3 5 9 15 17 27 45 51 85 107 135 153 255 321 457 459 535 765 963 1371 1605 1819 2285 2295 2889 4113 4815 4831 5457 6855 7769 9095 12339 14445 14493 16371 20565 23307 24155 27285 38845 43479 48899 49113 61695 69921 72465 81855 82127 116535 130437 146697 209763 217395 244495 245565 246381 349605 410635 440091 516917 652185 733485 739143 831283 1048815 1231905 1320273 1550751 2200455 2207767 2217429 2493849 2584585 3695715 4156415 4652253 6601365 6623301 7481547 7753755 8787589 11038835 11087145 12469245 13956759 19869903 22444641 23261265 26362767 33116505 37407735 37532039 43937945 59609709 69783795 79088301 99349515 112223205 112596117 131813835 187660195 236231069 237264903 298048545 337788351 395441505 562980585 708693207 1013365053 1181155345 1186324515 1688941755 2126079621 3543466035 4015928173 5066825265 6378238863 10630398105 12047784519 20079640865 31891194315 36143353557 60238922595 108430060671 180716767785 542150303355