Search a number
-
+
5235456151440 = 2432519382708783
BaseRepresentation
bin100110000101111100110…
…0000010000111110010000
3200112111121221101220222200
41030023321200100332100
51141234203233321230
615045045123003200
71050151325012064
oct114137140207620
920474557356880
105235456151440
111739387567059
127067bb809500
132bc916c789b8
1414157c793aa4
15912bd7cc160
hex4c2f9810f90

5235456151440 has 120 divisors (see below), whose sum is σ = 18507796794240. Its totient is φ = 1322641550592.

The previous prime is 5235456151439. The next prime is 5235456151447. The reversal of 5235456151440 is 441516545325.

5235456151440 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 4 + 56 + 151 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×52354561514402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5235456151447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191340712 + ... + 191368071.

It is an arithmetic number, because the mean of its divisors is an integer number (154231639952).

Almost surely, 25235456151440 is an apocalyptic number.

It is an amenable number.

5235456151440 is an abundant number, since it is smaller than the sum of its proper divisors (13272340642800).

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

5235456151440 is a wasteful number, since it uses less digits than its factorization.

5235456151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382708821 (or 382708812 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 5235456151440 in words is "five trillion, two hundred thirty-five billion, four hundred fifty-six million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 13680 382708783 765417566 1148126349 1530835132 1913543915 2296252698 3061670264 3444379047 3827087830 4592505396 5740631745 6123340528 6888758094 7271466877 7654175660 9185010792 11481263490 13777516188 14542933754 15308351320 17221895235 18370021584 21814400631 22962526980 27555032376 29085867508 30616702640 34443790470 36357334385 43628801262 45925053960 55110064752 58171735016 65443201893 68887580940 72714668770 87257602524 91850107920 109072003155 116343470032 130886403786 137775161880 145429337540 174515205048 218144006310 261772807572 275550323760 290858675080 327216009465 349030410096 436288012620 523545615144 581717350160 654432018930 872576025240 1047091230288 1308864037860 1745152050480 2617728075720 5235456151440