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1416474642672 = 2432791091142333
BaseRepresentation
bin10100100111001100011…
…101111100100011110000
312000102011112221100121200
4110213030131330203300
5141201420002031142
63002415223251200
7204223363543155
oct24471435744360
95012145840550
101416474642672
114a67a6010161
121aa6325a9b00
13a375ab0744b
144c7b461222c
1526ca466064c
hex149cc77c8f0

1416474642672 has 120 divisors (see below), whose sum is σ = 4051173297600. Its totient is φ = 461904228864.

The previous prime is 1416474642619. The next prime is 1416474642689. The reversal of 1416474642672 is 2762464746141.

It is a happy number.

1416474642672 is a `hidden beast` number, since 1 + 41 + 6 + 474 + 64 + 2 + 6 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668818 + ... + 1811150.

It is an arithmetic number, because the mean of its divisors is an integer number (33759777480).

Almost surely, 21416474642672 is an apocalyptic number.

1416474642672 is a gapful number since it is divisible by the number (12) 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 1416474642672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2025586648800).

1416474642672 is an abundant number, since it is smaller than the sum of its proper divisors (2634698654928).

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

1416474642672 is a wasteful number, since it uses less digits than its factorization.

1416474642672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142535 (or 1142526 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 54.

The spelling of 1416474642672 in words is "one trillion, four hundred sixteen billion, four hundred seventy-four million, six hundred forty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 79 109 144 158 218 237 316 327 436 474 632 654 711 872 948 981 1264 1308 1422 1744 1896 1962 2616 2844 3792 3924 5232 5688 7848 8611 11376 15696 17222 25833 34444 51666 68888 77499 103332 137776 154998 206664 309996 413328 619992 1142333 1239984 2284666 3426999 4569332 6853998 9138664 10280997 13707996 18277328 20561994 27415992 41123988 54831984 82247976 90244307 124514297 164495952 180488614 249028594 270732921 360977228 373542891 498057188 541465842 721954456 747085782 812198763 996114376 1082931684 1120628673 1443908912 1494171564 1624397526 1992228752 2165863368 2241257346 2988343128 3248795052 4331726736 4482514692 5976686256 6497590104 8965029384 9836629463 12995180208 17930058768 19673258926 29509888389 39346517852 59019776778 78693035704 88529665167 118039553556 157386071408 177059330334 236079107112 354118660668 472158214224 708237321336 1416474642672