Search a number
-
+
1514446151130 = 2335112292226701
BaseRepresentation
bin10110000010011100000…
…001100101110111011010
312100210001100121122121000
4112002130001211313122
5144303041203314010
63115421004525430
7214262246613153
oct26023401456732
95323040548530
101514446151130
11534300409570
12205614b50876
13aca722a5323
145342a0bc92a
15295da75a7c0
hex1609c065dda

1514446151130 has 128 divisors (see below), whose sum is σ = 4424902214400. Its totient is φ = 365535072000.

The previous prime is 1514446151069. The next prime is 1514446151131. The reversal of 1514446151130 is 311516444151.

1514446151130 is a `hidden beast` number, since 1 + 5 + 1 + 4 + 4 + 4 + 615 + 1 + 1 + 30 = 666.

It is not an unprimeable number, because it can be changed into a prime (1514446151131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 433221 + ... + 1793480.

It is an arithmetic number, because the mean of its divisors is an integer number (34569548550).

Almost surely, 21514446151130 is an apocalyptic number.

1514446151130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1514446151130 is an abundant number, since it is smaller than the sum of its proper divisors (2910456063270).

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

1514446151130 is a wasteful number, since it uses less digits than its factorization.

1514446151130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226957 (or 2226951 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 1514446151130 in words is "one trillion, five hundred fourteen billion, four hundred forty-six million, one hundred fifty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 229 270 297 330 458 495 594 687 990 1145 1374 1485 2061 2290 2519 2970 3435 4122 5038 6183 6870 7557 10305 12366 12595 15114 20610 22671 25190 30915 37785 45342 61830 68013 75570 113355 136026 226710 340065 680130 2226701 4453402 6680103 11133505 13360206 20040309 22267010 24493711 33400515 40080618 48987422 60120927 66801030 73481133 100201545 120241854 122468555 146962266 200403090 220443399 244937110 300604635 367405665 440886798 509914529 601209270 661330197 734811330 1019829058 1102216995 1322660394 1529743587 2204433990 2549572645 3059487174 3306650985 4589230761 5099145290 5609059819 6613301970 7648717935 9178461522 11218119638 13767692283 15297435870 16827179457 22946153805 27535384566 28045299095 33654358914 45892307610 50481538371 56090598190 68838461415 84135897285 100963076742 137676922830 151444615113 168271794570 252407691855 302889230226 504815383710 757223075565 1514446151130