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25342300514040 = 23353721127050831
BaseRepresentation
bin1011100001100011101101…
…10100011110011011111000
310022201200220111101102022020
411300301312310132123320
511310202012412422130
6125522031522354440
75223630555112266
oct560616664363370
9108650814342266
1025342300514040
118090677a71104
122a136111bba20
13111a9cba51263
14638806a77436
152de3286c1e10
hex170c76d1e6f8

25342300514040 has 128 divisors (see below), whose sum is σ = 78451740933120. Its totient is φ = 6544136793600.

The previous prime is 25342300514017. The next prime is 25342300514059. The reversal of 25342300514040 is 4041500324352.

It is a junction number, because it is equal to n+sod(n) for n = 25342300513992 and 25342300514010.

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, 12588576 + ... + 14462255.

It is an arithmetic number, because the mean of its divisors is an integer number (612904226040).

Almost surely, 225342300514040 is an apocalyptic number.

25342300514040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

25342300514040 is an abundant number, since it is smaller than the sum of its proper divisors (53109440419080).

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

25342300514040 is a wasteful number, since it uses less digits than its factorization.

25342300514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27051093 (or 27051089 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 33.

Adding to 25342300514040 its reverse (4041500324352), we get a palindrome (29383800838392).

The spelling of 25342300514040 in words is "twenty-five trillion, three hundred forty-two billion, three hundred million, five hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 211 222 296 370 422 444 555 633 740 844 888 1055 1110 1266 1480 1688 2110 2220 2532 3165 4220 4440 5064 6330 7807 8440 12660 15614 23421 25320 31228 39035 46842 62456 78070 93684 117105 156140 187368 234210 312280 468420 936840 27050831 54101662 81152493 108203324 135254155 162304986 216406648 270508310 324609972 405762465 541016620 649219944 811524930 1000880747 1082033240 1623049860 2001761494 3002642241 3246099720 4003522988 5004403735 5707725341 6005284482 8007045976 10008807470 11415450682 12010568964 15013211205 17123176023 20017614940 22830901364 24021137928 28538626705 30026422410 34246352046 40035229880 45661802728 57077253410 60052844820 68492704092 85615880115 114154506820 120105689640 136985408184 171231760230 211185837617 228309013640 342463520460 422371675234 633557512851 684927040920 844743350468 1055929188085 1267115025702 1689486700936 2111858376170 2534230051404 3167787564255 4223716752340 5068460102808 6335575128510 8447433504680 12671150257020 25342300514040