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31440141243040 = 2551717366814309
BaseRepresentation
bin1110010011000001110100…
…11100110101001010100000
311010022122111111111222111011
413021200322130311022200
513110103402124234130
6150511222420030304
76423322003105315
oct711407234651240
9133278444458434
1031440141243040
11a0217640a8372
123639387832394
131470a3c44c72a
147a99d4c0cd0c
15397c6c02052a
hex1c983a7352a0

31440141243040 has 96 divisors (see below), whose sum is σ = 79101194351760. Its totient is φ = 11767870439424.

The previous prime is 31440141242977. The next prime is 31440141243041. The reversal of 31440141243040 is 4034214104413.

It can be written as a sum of positive squares in 8 ways, for example, as 30435920799376 + 1004220443664 = 5516876^2 + 1002108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 31440141242993 and 31440141243011.

It is not an unprimeable number, because it can be changed into a prime (31440141243041) 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, 32936595 + ... + 33877714.

Almost surely, 231440141243040 is an apocalyptic number.

It is an amenable number.

31440141243040 is an abundant number, since it is smaller than the sum of its proper divisors (47661053108720).

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

31440141243040 is a wasteful number, since it uses less digits than its factorization.

31440141243040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66814514 (or 66814506 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 31.

Adding to 31440141243040 its reverse (4034214104413), we get a palindrome (35474355347453).

The spelling of 31440141243040 in words is "thirty-one trillion, four hundred forty billion, one hundred forty-one million, two hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 173 272 340 346 544 680 692 865 1360 1384 1730 2720 2768 2941 3460 5536 5882 6920 11764 13840 14705 23528 27680 29410 47056 58820 94112 117640 235280 470560 66814309 133628618 267257236 334071545 534514472 668143090 1069028944 1135843253 1336286180 2138057888 2271686506 2672572360 4543373012 5345144720 5679216265 9086746024 10690289440 11358432530 11558875457 18173492048 22716865060 23117750914 36346984096 45433730120 46235501828 57794377285 90867460240 92471003656 115588754570 181734920480 184942007312 196500882769 231177509140 369884014624 393001765538 462355018280 786003531076 924710036560 982504413845 1572007062152 1849420073120 1965008827690 3144014124304 3930017655380 6288028248608 7860035310760 15720070621520 31440141243040