Search a number
-
+
514431430152 = 233145318018191
BaseRepresentation
bin1110111110001101000…
…00001010111000001000
31211011211121111022201120
413133012200022320020
531412023421231102
61032154310515240
752111043002623
oct7370640127010
91734747438646
10514431430152
11189195149582
128384a065b20
1339683c54163
141ac81b22dba
15d5aca876bc
hex77c680ae08

514431430152 has 64 divisors (see below), whose sum is σ = 1287835484160. Its totient is φ = 171243072000.

The previous prime is 514431430127. The next prime is 514431430159. The reversal of 514431430152 is 251034134415.

It is not an unprimeable number, because it can be changed into a prime (514431430159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62800377 + ... + 62808567.

It is an arithmetic number, because the mean of its divisors is an integer number (20122429440).

Almost surely, 2514431430152 is an apocalyptic number.

It is an amenable number.

514431430152 is an abundant number, since it is smaller than the sum of its proper divisors (773404054008).

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

514431430152 is a wasteful number, since it uses less digits than its factorization.

514431430152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11454 (or 11450 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

Adding to 514431430152 its reverse (251034134415), we get a palindrome (765465564567).

The spelling of 514431430152 in words is "five hundred fourteen billion, four hundred thirty-one million, four hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 1453 1801 2906 3602 4359 5403 5812 7204 8191 8718 10806 11624 14408 16382 17436 21612 24573 32764 34872 43224 49146 65528 98292 196584 2616853 5233706 7850559 10467412 11901523 14751991 15701118 20934824 23803046 29503982 31402236 35704569 44255973 47606092 59007964 62804472 71409138 88511946 95212184 118015928 142818276 177023892 285636552 354047784 21434642923 42869285846 64303928769 85738571692 128607857538 171477143384 257215715076 514431430152