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1430012144 = 241131349751
BaseRepresentation
bin101010100111100…
…0100000011110000
310200122211010212202
41111033010003300
510412040342034
6353522042332
750302621421
oct12517040360
93618733782
101430012144
11674228320
1233aaa93a8
1319a359142
14d7cc5648
158582247e
hex553c40f0

1430012144 has 80 divisors (see below), whose sum is σ = 3133132800. Its totient is φ = 626400000.

The previous prime is 1430012107. The next prime is 1430012161. The reversal of 1430012144 is 4412100341.

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, 1903769 + ... + 1904519.

It is an arithmetic number, because the mean of its divisors is an integer number (39164160).

Almost surely, 21430012144 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 1430012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566566400).

1430012144 is an abundant number, since it is smaller than the sum of its proper divisors (1703120656).

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

1430012144 is a wasteful number, since it uses less digits than its factorization.

1430012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1430012144 is about 37815.5013717920. The cubic root of 1430012144 is about 1126.6263605358.

Adding to 1430012144 its reverse (4412100341), we get a palindrome (5842112485).

The spelling of 1430012144 in words is "one billion, four hundred thirty million, twelve thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 349 496 682 698 751 1364 1396 1502 2728 2792 3004 3839 5456 5584 6008 7678 8261 10819 12016 15356 16522 21638 23281 30712 33044 43276 46562 61424 66088 86552 93124 119009 132176 173104 186248 238018 256091 262099 372496 476036 512182 524198 952072 1024364 1048396 1904144 2048728 2096792 2883089 4097456 4193584 5766178 8125069 11532356 16250138 23064712 32500276 46129424 65000552 89375759 130001104 178751518 357503036 715006072 1430012144