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1230514144 = 25434753359
BaseRepresentation
bin100100101011000…
…0010011111100000
310011202102121001221
41021112002133200
510010002423034
6322034104424
742331124536
oct11126023740
93152377057
101230514144
11581658542
122a411b114
13167c194a2
14b95d4156
1573066bb4
hex495827e0

1230514144 has 96 divisors (see below), whose sum is σ = 2586608640. Its totient is φ = 575457792.

The previous prime is 1230514139. The next prime is 1230514163. The reversal of 1230514144 is 4414150321.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3427437 + ... + 3427795.

It is an arithmetic number, because the mean of its divisors is an integer number (26943840).

Almost surely, 21230514144 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 1230514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293304320).

1230514144 is an abundant number, since it is smaller than the sum of its proper divisors (1356094496).

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

1230514144 is a wasteful number, since it uses less digits than its factorization.

1230514144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 1230514144 is about 35078.6850380683. The cubic root of 1230514144 is about 1071.5905375396.

Adding to 1230514144 its reverse (4414150321), we get a palindrome (5644664465).

The spelling of 1230514144 in words is "one billion, two hundred thirty million, five hundred fourteen thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 47 53 86 94 106 172 188 212 344 359 376 424 688 718 752 848 1376 1436 1504 1696 2021 2279 2491 2872 4042 4558 4982 5744 8084 9116 9964 11488 15437 16168 16873 18232 19027 19928 30874 32336 33746 36464 38054 39856 61748 64672 67492 72928 76108 79712 107113 123496 134984 152216 214226 246992 269968 304432 428452 493984 539936 608864 725539 818161 856904 894269 1451078 1636322 1713808 1788538 2902156 3272644 3427616 3577076 5804312 6545288 7154152 11608624 13090576 14308304 23217248 26181152 28616608 38453567 76907134 153814268 307628536 615257072 1230514144