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542366146320 = 2435171123118373
BaseRepresentation
bin1111110010001111000…
…10101001111100010000
31220211221102120221021220
413321013202221330100
532341231213140240
61053054244445040
754120224115045
oct7710742517420
91824842527256
10542366146320
1119a01a606269
12891453a9780
133c1b6494bcb
141c371b5b1cc
15e1952055d0
hex7e478a9f10

542366146320 has 160 divisors (see below), whose sum is σ = 1781837419392. Its totient is φ = 136000905216.

The previous prime is 542366146319. The next prime is 542366146321. The reversal of 542366146320 is 23641663245.

It is a happy number.

542366146320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (542366146319) and next prime (542366146321).

It is a super-2 number, since 2×5423661463202 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (542366146321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522654 + ... + 4641026.

Almost surely, 2542366146320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542366146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890918709696).

542366146320 is an abundant number, since it is smaller than the sum of its proper divisors (1239471273072).

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

542366146320 is a wasteful number, since it uses less digits than its factorization.

542366146320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119529 (or 119523 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 542366146320 in words is "five hundred forty-two billion, three hundred sixty-six million, one hundred forty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1123 1360 2040 2246 3369 4080 4492 5615 6738 8984 11230 13476 16845 17968 19091 22460 26952 33690 38182 44920 53904 57273 67380 76364 89840 95455 114546 118373 134760 152728 190910 229092 236746 269520 286365 305456 355119 381820 458184 473492 572730 591865 710238 763640 916368 946984 1145460 1183730 1420476 1527280 1775595 1893968 2012341 2290920 2367460 2840952 3551190 4024682 4581840 4734920 5681904 6037023 7102380 8049364 9469840 10061705 12074046 14204760 16098728 20123410 24148092 28409520 30185115 32197456 40246820 48296184 60370230 80493640 96592368 120740460 132932879 160987280 241480920 265865758 398798637 482961840 531731516 664664395 797597274 1063463032 1329328790 1595194548 1993993185 2126926064 2259858943 2658657580 3190389096 3987986370 4519717886 5317315160 6380778192 6779576829 7975972740 9039435772 10634630320 11299294715 13559153658 15951945480 18078871544 22598589430 27118307316 31903890960 33897884145 36157743088 45197178860 54236614632 67795768290 90394357720 108473229264 135591536580 180788715440 271183073160 542366146320