Search a number
-
+
30335434232544 = 2532726955938061
BaseRepresentation
bin1101110010111000001001…
…10010000001001011100000
310222102001001120101022020100
412321130010302001023200
512434003432130420134
6144303523414542400
76250443224334150
oct671340462011340
9128361046338210
1030335434232544
119736204865761
12349b263667a00
1313c080842a75c
1476c358550760
153791631de999
hex1b9704c812e0

30335434232544 has 144 divisors (see below), whose sum is σ = 98956669200480. Its totient is φ = 8635046446080.

The previous prime is 30335434232501. The next prime is 30335434232563. The reversal of 30335434232544 is 44523243453303.

It is a happy number.

30335434232544 is a `hidden beast` number, since 3 + 0 + 3 + 3 + 54 + 34 + 23 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 30335434232544.

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, 27426727 + ... + 28511334.

It is an arithmetic number, because the mean of its divisors is an integer number (687199091670).

Almost surely, 230335434232544 is an apocalyptic number.

It is an amenable number.

30335434232544 is an abundant number, since it is smaller than the sum of its proper divisors (68621234967936).

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

30335434232544 is a wasteful number, since it uses less digits than its factorization.

30335434232544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55938353 (or 55938342 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 45.

Adding to 30335434232544 its reverse (44523243453303), we get a palindrome (74858677685847).

The spelling of 30335434232544 in words is "thirty trillion, three hundred thirty-five billion, four hundred thirty-four million, two hundred thirty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 269 288 336 504 538 672 807 1008 1076 1614 1883 2016 2152 2421 3228 3766 4304 4842 5649 6456 7532 8608 9684 11298 12912 15064 16947 19368 22596 25824 30128 33894 38736 45192 60256 67788 77472 90384 135576 180768 271152 542304 55938061 111876122 167814183 223752244 335628366 391566427 447504488 503442549 671256732 783132854 895008976 1006885098 1174699281 1342513464 1566265708 1790017952 2013770196 2349398562 2685026928 3132531416 3524097843 4027540392 4698797124 5370053856 6265062832 7048195686 8055080784 9397594248 12530125664 14096391372 15047338409 16110161568 18795188496 28192782744 30094676818 37590376992 45142015227 56385565488 60189353636 90284030454 105331368863 112771130976 120378707272 135426045681 180568060908 210662737726 240757414544 270852091362 315994106589 361136121816 421325475452 481514829088 541704182724 631988213178 722272243632 842650950904 947982319767 1083408365448 1263976426356 1444544487264 1685301901808 1895964639534 2166816730896 2527952852712 3370603803616 3791929279068 4333633461792 5055905705424 7583858558136 10111811410848 15167717116272 30335434232544