Search a number
-
+
203132230431040 = 2653724171188541
BaseRepresentation
bin101110001011111101101000…
…011011111111000101000000
3222122020020210101210012211101
4232023331220123333011000
5203111104301442243130
62000005354114024144
760533551014560431
oct5613755033770500
9878206711705741
10203132230431040
11597a6993482a99
121a948478b78054
138946396abb191
14382391c305488
151873e073751ca
hexb8bf686ff140

203132230431040 has 112 divisors (see below), whose sum is σ = 498843172160784. Its totient is φ = 78728830156800.

The previous prime is 203132230430963. The next prime is 203132230431041. The reversal of 203132230431040 is 40134032231302.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 28972899491904 + 174159330939136 = 5382648^2 + 13196944^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203132230431041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32740831 + ... + 38447710.

Almost surely, 2203132230431040 is an apocalyptic number.

203132230431040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203132230431040 is an abundant number, since it is smaller than the sum of its proper divisors (295710941729744).

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

203132230431040 is a wasteful number, since it uses less digits than its factorization.

203132230431040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71188836 (or 71188826 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 203132230431040 its reverse (40134032231302), we get a palindrome (243266262662342).

The spelling of 203132230431040 in words is "two hundred three trillion, one hundred thirty-two billion, two hundred thirty million, four hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 241 296 320 370 482 592 740 964 1184 1205 1480 1928 2368 2410 2960 3856 4820 5920 7712 8917 9640 11840 15424 17834 19280 35668 38560 44585 71336 77120 89170 142672 178340 285344 356680 570688 713360 1426720 2853440 71188541 142377082 284754164 355942705 569508328 711885410 1139016656 1423770820 2278033312 2633976017 2847541640 4556066624 5267952034 5695083280 10535904068 11390166560 13169880085 17156438381 21071808136 22780333120 26339760170 34312876762 42143616272 52679520340 68625753524 84287232544 85782191905 105359040680 137251507048 168574465088 171564383810 210718081360 274503014096 343128767620 421436162720 549006028192 634788220097 686257535240 842872325440 1098012056384 1269576440194 1372515070480 2539152880388 2745030140960 3173941100485 5078305760776 5490060281920 6347882200970 10156611521552 12695764401940 20313223043104 25391528803880 40626446086208 50783057607760 101566115215520 203132230431040