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253531334040 = 233523107858497
BaseRepresentation
bin1110110000011110100…
…1010010010110011000
3220020102000221012201220
43230013221102112120
513123213010142130
6312245400212040
724213512532165
oct3540751222630
9806360835656
10253531334040
1198581912836
124117716a020
131aba587976a
14c3b180906c
1568dcd65410
hex3b07a52598

253531334040 has 128 divisors (see below), whose sum is σ = 801081653760. Its totient is φ = 64064405504.

The previous prime is 253531334027. The next prime is 253531334051. The reversal of 253531334040 is 40433135352.

It is a junction number, because it is equal to n+sod(n) for n = 253531333992 and 253531334010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133929 + ... + 724568.

It is an arithmetic number, because the mean of its divisors is an integer number (6258450420).

Almost surely, 2253531334040 is an apocalyptic number.

253531334040 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 253531334040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400540826880).

253531334040 is an abundant number, since it is smaller than the sum of its proper divisors (547550319720).

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

253531334040 is a wasteful number, since it uses less digits than its factorization.

253531334040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858641 (or 858637 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 33.

Adding to 253531334040 its reverse (40433135352), we get a palindrome (293964469392).

The spelling of 253531334040 in words is "two hundred fifty-three billion, five hundred thirty-one million, three hundred thirty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 107 115 120 138 184 214 230 276 321 345 428 460 535 552 642 690 856 920 1070 1284 1380 1605 2140 2461 2568 2760 3210 4280 4922 6420 7383 9844 12305 12840 14766 19688 24610 29532 36915 49220 59064 73830 98440 147660 295320 858497 1716994 2575491 3433988 4292485 5150982 6867976 8584970 10301964 12877455 17169940 19745431 20603928 25754910 34339880 39490862 51509820 59236293 78981724 91859179 98727155 103019640 118472586 157963448 183718358 197454310 236945172 275577537 296181465 367436716 394908620 459295895 473890344 551155074 592362930 734873432 789817240 918591790 1102310148 1184725860 1377887685 1837183580 2112761117 2204620296 2369451720 2755775370 3674367160 4225522234 5511550740 6338283351 8451044468 10563805585 11023101480 12676566702 16902088936 21127611170 25353133404 31691416755 42255222340 50706266808 63382833510 84510444680 126765667020 253531334040