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3214102402044 = 2232537343275333
BaseRepresentation
bin101110110001010111011…
…011101001001111111100
3102101021011022201012201100
4232301113123221033330
5410124440203331134
610500312133013100
7451132311434622
oct56612733511774
912337138635640
103214102402044
11102a1030182a6
1243aab8484190
131a411c732b71
14b17c5d09512
1558915cc7999
hex2ec576e93fc

3214102402044 has 144 divisors (see below), whose sum is σ = 8394737787072. Its totient is φ = 1036319671296.

The previous prime is 3214102402003. The next prime is 3214102402051. The reversal of 3214102402044 is 4402042014123.

3214102402044 is a `hidden beast` number, since 3 + 2 + 1 + 410 + 2 + 40 + 204 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3214102401999 and 3214102402017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 602679202 + ... + 602684534.

It is an arithmetic number, because the mean of its divisors is an integer number (58296790188).

Almost surely, 23214102402044 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 3214102402044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197368893536).

3214102402044 is an abundant number, since it is smaller than the sum of its proper divisors (5180635385028).

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

3214102402044 is a wasteful number, since it uses less digits than its factorization.

3214102402044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9796 (or 9791 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 3214102402044 its reverse (4402042014123), we get a palindrome (7616144416167).

The spelling of 3214102402044 in words is "three trillion, two hundred fourteen billion, one hundred two million, four hundred two thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 73 106 146 159 212 219 292 318 438 477 636 657 876 954 1314 1908 2628 3869 4327 5333 7738 8654 10666 11607 12981 15476 15999 17308 21332 23214 25962 31998 34821 38943 46428 47997 51924 63996 69642 77886 95994 139284 155772 191988 229331 282649 315871 389309 458662 565298 631742 687993 778618 847947 917324 947613 1130596 1167927 1263484 1375986 1557236 1695894 1895226 2063979 2335854 2543841 2751972 2842839 3391788 3503781 3790452 4127958 4671708 5087682 5685678 7007562 8255916 10175364 11371356 14015124 16741163 20633377 23075891 33482326 41266754 46151782 50223489 61900131 66964652 69227673 82533508 92303564 100446978 123800262 138455346 150670467 185700393 200893956 207683019 247600524 276910692 301340934 371400786 415366038 602681868 742801572 830732076 1223022223 1684540043 2446044446 3369080086 3669066669 4892088892 5053620129 6738160172 7338133338 10107240258 11007200007 14676266676 15160860387 20214480516 22014400014 30321720774 44028800028 60643441548 89280622279 178561244558 267841866837 357122489116 535683733674 803525600511 1071367467348 1607051201022 3214102402044