Search a number
-
+
1407298199616 = 2632494292
BaseRepresentation
bin10100011110101001100…
…000100110000001000000
311222112111000211202020100
4110132221200212001000
5141024121314341431
62554300500242400
7203450106216651
oct24365140460100
94875430752210
101407298199616
114a2917166721
121a88b13a0400
13a292792a29a
144c1839cb528
1526918c2e4e6
hex147a9826040

1407298199616 has 63 divisors (see below), whose sum is σ = 4033847802621. Its totient is φ = 469089909504.

The previous prime is 1407298199599. The next prime is 1407298199717. The reversal of 1407298199616 is 6169918927041.

The square root of 1407298199616 is 1186296.

It is a perfect power (a square), and thus also a powerful number.

1407298199616 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 2 + 9 + 8 + 1 + 9 + 9 + 616 = 666.

It can be written as a sum of positive squares in only one way, i.e., 865837694016 + 541460505600 = 930504^2 + 735840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28446390 + ... + 28495818.

Almost surely, 21407298199616 is an apocalyptic number.

1407298199616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1407298199616 is the 1186296-th square number.

It is an amenable number.

1407298199616 is an abundant number, since it is smaller than the sum of its proper divisors (2626549603005).

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

1407298199616 is an frugal number, since it uses more digits than its factorization.

1407298199616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98876 (or 49434 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 1407298199616 in words is "one trillion, four hundred seven billion, two hundred ninety-eight million, one hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 49429 98858 148287 197716 296574 395432 444861 593148 790864 889722 1186296 1581728 1779444 2372592 3163456 3558888 4745184 7117776 9490368 14235552 28471104 2443226041 4886452082 7329678123 9772904164 14659356246 19545808328 21989034369 29318712492 39091616656 43978068738 58637424984 78183233312 87956137476 117274849968 156366466624 175912274952 234549699936 351824549904 469099399872 703649099808 1407298199616