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532143131040 = 253251721737873
BaseRepresentation
bin1111011111001100011…
…00111100100110100000
31212212112222011221201100
413233212030330212200
532204312120143130
61044244014034400
753306000660553
oct7574614744640
91785488157640
10532143131040
11195753a19604
12871717a8a00
133b247522741
141ba8214469a
15dc97993c60
hex7be633c9a0

532143131040 has 144 divisors (see below), whose sum is σ = 1922758431048. Its totient is φ = 133557485568.

The previous prime is 532143131029. The next prime is 532143131053. The reversal of 532143131040 is 40131341235.

It is a happy number.

532143131040 is a `hidden beast` number, since 532 + 14 + 3 + 13 + 104 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 357943744656 + 174199386384 = 598284^2 + 417372^2 .

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

It is a super-2 number, since 2×5321431310402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 532143130995 and 532143131013.

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, 10844457 + ... + 10893416.

Almost surely, 2532143131040 is an apocalyptic number.

It is an amenable number.

532143131040 is an abundant number, since it is smaller than the sum of its proper divisors (1390615300008).

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

532143131040 is a wasteful number, since it uses less digits than its factorization.

532143131040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21737911 (or 21737900 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 532143131040 its reverse (40131341235), we get a palindrome (572274472275).

The spelling of 532143131040 in words is "five hundred thirty-two billion, one hundred forty-three million, one hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 6120 8160 12240 24480 21737873 43475746 65213619 86951492 108689365 130427238 173902984 195640857 217378730 260854476 326068095 347805968 369543841 391281714 434757460 521708952 652136190 695611936 739087682 782563428 869514920 978204285 1043417904 1108631523 1304272380 1478175364 1565126856 1739029840 1847719205 1956408570 2086835808 2217263046 2608544760 2956350728 3130253712 3325894569 3478059680 3695438410 3912817140 4434526092 5217089520 5543157615 5912701456 6260507424 6651789138 7390876820 7825634280 8869052184 10434179040 11086315230 11825402912 13303578276 14781753640 15651268560 16629472845 17738104368 22172630460 26607156552 29563507280 31302537120 33258945690 35476208736 44345260920 53214313104 59127014560 66517891380 88690521840 106428626208 133035782760 177381043680 266071565520 532143131040