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25040434140 = 223253118124793
BaseRepresentation
bin10111010100100001…
…101011001111011100
32101122002222212000200
4113110201223033130
5402240322343030
615300423223500
71544345115111
oct272441531734
971562885020
1025040434140
11a68a743877
124a29ba7b90
132490a22847
1412d78b0908
159b850cd60
hex5d486b3dc

25040434140 has 144 divisors (see below), whose sum is σ = 78842539776. Its totient is φ = 6426086400.

The previous prime is 25040434117. The next prime is 25040434187. The reversal of 25040434140 is 4143404052.

It is a happy number.

25040434140 is a `hidden beast` number, since 2 + 50 + 40 + 434 + 140 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 997584 + ... + 1022376.

Almost surely, 225040434140 is an apocalyptic number.

25040434140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25040434140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39421269888).

25040434140 is an abundant number, since it is smaller than the sum of its proper divisors (53802105636).

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

25040434140 is a wasteful number, since it uses less digits than its factorization.

25040434140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 25015 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 25040434140 its reverse (4143404052), we get a palindrome (29183838192).

The spelling of 25040434140 in words is "twenty-five billion, forty million, four hundred thirty-four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 181 186 279 310 362 372 465 543 558 620 724 905 930 1086 1116 1395 1629 1810 1860 2172 2715 2790 3258 3620 5430 5580 5611 6516 8145 10860 11222 16290 16833 22444 24793 28055 32580 33666 49586 50499 56110 67332 74379 84165 99172 100998 112220 123965 148758 168330 201996 223137 247930 252495 297516 336660 371895 446274 495860 504990 743790 768583 892548 1009980 1115685 1487580 1537166 2231370 2305749 3074332 3842915 4462740 4487533 4611498 6917247 7685830 8975066 9222996 11528745 13462599 13834494 15371660 17950132 22437665 23057490 26925198 27668988 34586235 40387797 44875330 46114980 53850396 67312995 69172470 80775594 89750660 134625990 138344940 139113523 161551188 201938985 269251980 278227046 403877970 417340569 556454092 695567615 807755940 834681138 1252021707 1391135230 1669362276 2086702845 2504043414 2782270460 4173405690 5008086828 6260108535 8346811380 12520217070 25040434140