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1402014144 = 26317342209
BaseRepresentation
bin101001110010001…
…0000100111000000
310121201010200211210
41103210100213000
510332403423034
6351042010120
746512631536
oct12344204700
93551120753
101402014144
1165a444a83
12331646940
1319460548b
14d42b8156
15831418e9
hex539109c0

1402014144 has 56 divisors (see below), whose sum is σ = 3731026320. Its totient is φ = 464625664.

The previous prime is 1402014143. The next prime is 1402014149. The reversal of 1402014144 is 4414102041.

It is a self number, because there is not a number n which added to its sum of digits gives 1402014144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402014143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12112 + ... + 54320.

It is an arithmetic number, because the mean of its divisors is an integer number (66625470).

Almost surely, 21402014144 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 1402014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865513160).

1402014144 is an abundant number, since it is smaller than the sum of its proper divisors (2329012176).

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

1402014144 is a wasteful number, since it uses less digits than its factorization.

1402014144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42397 (or 42387 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1402014144 is about 37443.4793255114. The cubic root of 1402014144 is about 1119.2251613535.

Adding to 1402014144 its reverse (4414102041), we get a palindrome (5816116185).

The spelling of 1402014144 in words is "one billion, four hundred two million, fourteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 173 192 346 519 692 1038 1384 2076 2768 4152 5536 8304 11072 16608 33216 42209 84418 126627 168836 253254 337672 506508 675344 1013016 1350688 2026032 2701376 4052064 7302157 8104128 14604314 21906471 29208628 43812942 58417256 87625884 116834512 175251768 233669024 350503536 467338048 701007072 1402014144