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1402168968 = 233414712
BaseRepresentation
bin101001110010011…
…0110011010001000
310121201102120020000
41103210312122020
510332423401333
6351045203000
746514145114
oct12344663210
93551376200
101402168968
1165a540332
12331700460
1319465aaa5
14d4318744
1583172713
hex53936688

1402168968 has 60 divisors (see below), whose sum is σ = 3930043095. Its totient is φ = 467071920.

The previous prime is 1402168951. The next prime is 1402169017. The reversal of 1402168968 is 8698612041.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 701084484 + 701084484 = 26478^2 + 26478^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=26478.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 952473 + ... + 953943.

Almost surely, 21402168968 is an apocalyptic number.

1402168968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402168968

1402168968 is an abundant number, since it is smaller than the sum of its proper divisors (2527874127).

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

1402168968 is an frugal number, since it uses more digits than its factorization.

1402168968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1402168968 is about 37445.5467045148. The cubic root of 1402168968 is about 1119.2663584030.

Multiplying 1402168968 by its product of nonzero digits (165888), we get a square (232603005763584 = 152513282).

The spelling of 1402168968 in words is "one billion, four hundred two million, one hundred sixty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 1471 2942 4413 5884 8826 11768 13239 17652 26478 35304 39717 52956 79434 105912 119151 158868 238302 317736 476604 953208 2163841 4327682 6491523 8655364 12983046 17310728 19474569 25966092 38949138 51932184 58423707 77898276 116847414 155796552 175271121 233694828 350542242 467389656 701084484 1402168968