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1430130048 = 2737947143
BaseRepresentation
bin101010100111110…
…0000110110000000
310200200001010121120
41111033200312000
510412103130143
6353524352240
750303622234
oct12517406600
93620033546
101430130048
116742a8966
1233ab45680
1319a39a9c9
14d7d165c4
1585847383
hex553e0d80

1430130048 has 64 divisors (see below), whose sum is σ = 3846950400. Its totient is φ = 470665728.

The previous prime is 1430130047. The next prime is 1430130137. The reversal of 1430130048 is 8400310341.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1430130047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6765 + ... + 53907.

It is an arithmetic number, because the mean of its divisors is an integer number (60108600).

Almost surely, 21430130048 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 1430130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923475200).

1430130048 is an abundant number, since it is smaller than the sum of its proper divisors (2416820352).

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

1430130048 is an equidigital number, since it uses as much as digits as its factorization.

1430130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47239 (or 47227 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1430130048 is about 37817.0602770760. The cubic root of 1430130048 is about 1126.6573230010.

Adding to 1430130048 its reverse (8400310341), we get a palindrome (9830440389).

The spelling of 1430130048 in words is "one billion, four hundred thirty million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 632 948 1264 1896 2528 3792 5056 7584 10112 15168 30336 47143 94286 141429 188572 282858 377144 565716 754288 1131432 1508576 2262864 3017152 3724297 4525728 6034304 7448594 9051456 11172891 14897188 18102912 22345782 29794376 44691564 59588752 89383128 119177504 178766256 238355008 357532512 476710016 715065024 1430130048