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1407424144 = 24718169427
BaseRepresentation
bin101001111100011…
…1001011010010000
310122002022112222011
41103320321122100
510340300033034
6351353552304
746606623250
oct12370713220
93562275864
101407424144
116624aa655
12333415694
1319577aa69
14d4cc5960
158385e864
hex53e39690

1407424144 has 40 divisors (see below), whose sum is σ = 3133702208. Its totient is φ = 599840640.

The previous prime is 1407424133. The next prime is 1407424157. The reversal of 1407424144 is 4414247041.

It is a super-2 number, since 2×14074241442 = 3961685442228265472, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14442 + ... + 54985.

Almost surely, 21407424144 is an apocalyptic number.

1407424144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1407424144 is an abundant number, since it is smaller than the sum of its proper divisors (1726278064).

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

1407424144 is a wasteful number, since it uses less digits than its factorization.

1407424144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69623 (or 69617 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 31.

The square root of 1407424144 is about 37515.6519868708. The cubic root of 1407424144 is about 1120.6629111269.

The spelling of 1407424144 in words is "one billion, four hundred seven million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 724 1267 1448 2534 2896 5068 10136 20272 69427 138854 277708 485989 555416 971978 1110832 1943956 3887912 7775824 12566287 25132574 50265148 87964009 100530296 175928018 201060592 351856036 703712072 1407424144