Search a number
-
+
43331430130254 = 2347227491342833
BaseRepresentation
bin10011101101000111000101…
…00000000010001001001110
312200102102222212110100210000
421312203202200002021032
521134420232103132004
6232054103441425130
712061410142655130
oct1166434240021116
9180372885410700
1043331430130254
111289683572a102
124a39b0833b1a6
131b241a0689176
14a9b376875050
1550223b090c39
hex2768e280224e

43331430130254 has 160 divisors (see below), whose sum is σ = 111681296660736. Its totient is φ = 12300729880320.

The previous prime is 43331430130249. The next prime is 43331430130363. The reversal of 43331430130254 is 45203103413334.

43331430130254 is a `hidden beast` number, since 4 + 3 + 3 + 314 + 30 + 1 + 302 + 5 + 4 = 666.

It is a super-2 number, since 2×433314301302542 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126220822 + ... + 126563654.

Almost surely, 243331430130254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43331430130254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55840648330368).

43331430130254 is an abundant number, since it is smaller than the sum of its proper divisors (68349866530482).

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

43331430130254 is a wasteful number, since it uses less digits than its factorization.

43331430130254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343572 (or 343563 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

Adding to 43331430130254 its reverse (45203103413334), we get a palindrome (88534533543588).

The spelling of 43331430130254 in words is "forty-three trillion, three hundred thirty-one billion, four hundred thirty million, one hundred thirty thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 227 378 454 491 567 681 982 1134 1362 1473 1589 2043 2946 3178 3437 4086 4419 4767 6129 6874 8838 9534 10311 12258 13257 14301 18387 20622 26514 28602 30933 36774 39771 42903 61866 79542 85806 92799 111457 128709 185598 222914 257418 278397 334371 342833 556794 668742 685666 780199 1003113 1028499 1560398 2006226 2056998 2340597 2399831 3009339 3085497 4681194 4799662 6018678 6170994 7021791 7199493 9028017 9256491 14043582 14398986 18056034 18512982 21065373 21598479 27769473 42130746 43196958 55538946 63196119 64795437 77823091 126392238 129590874 155646182 168331003 194386311 233469273 336662006 388772622 466938546 504993009 544761637 700407819 1009986018 1089523274 1178317021 1400815638 1514979027 1634284911 2101223457 2356634042 3029958054 3268569822 3534951063 4202446914 4544937081 4902854733 6303670371 7069902126 9089874162 9805709466 10604853189 12607340742 13634811243 14708564199 21209706378 27269622486 29417128398 31814559567 38211137681 44125692597 63629119134 76422275362 88251385194 95443678701 114633413043 190887357402 229266826086 267477963767 343900239129 534955927534 687800478258 802433891301 1031700717387 1604867782602 2063401434774 2407301673903 3095102152161 4814603347806 6190204304322 7221905021709 14443810043418 21665715065127 43331430130254