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123242510114040 = 23352137605379397
BaseRepresentation
bin11100000001011010100010…
…000010010101110011111000
3121011100212110102121112112010
4130001122202002111303320
5112123201130042122130
61114040454425445520
734646656201330632
oct3401324202256370
9534325412545463
10123242510114040
11362a5945040a39
12119a52833408a0
13539c94638c175
142260d7db39a52
15e3ac4937d0b0
hex7016a2095cf8

123242510114040 has 128 divisors (see below), whose sum is σ = 369966312682560. Its totient is φ = 32843449872384.

The previous prime is 123242510113999. The next prime is 123242510114069. The reversal of 123242510114040 is 40411015242321.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 123242510113989 and 123242510114007.

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, 1552191622 + ... + 1552271018.

Almost surely, 2123242510114040 is an apocalyptic number.

123242510114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123242510114040 is an abundant number, since it is smaller than the sum of its proper divisors (246723802568520).

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

123242510114040 is a wasteful number, since it uses less digits than its factorization.

123242510114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87601 (or 87597 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 123242510114040 its reverse (40411015242321), we get a palindrome (163653525356361).

The spelling of 123242510114040 in words is "one hundred twenty-three trillion, two hundred forty-two billion, five hundred ten million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2137 4274 6053 6411 8548 10685 12106 12822 17096 18159 21370 24212 25644 30265 32055 36318 42740 48424 51288 60530 64110 72636 79397 85480 90795 121060 128220 145272 158794 181590 238191 242120 256440 317588 363180 396985 476382 635176 726360 793970 952764 1190955 1587940 1905528 2381910 3175880 4763820 9527640 12935261 25870522 38805783 51741044 64676305 77611566 103482088 129352610 155223132 169671389 194028915 258705220 310446264 339342778 388057830 480590041 509014167 517410440 678685556 776115660 848356945 961180082 1018028334 1357371112 1441770123 1552231320 1696713890 1922360164 2036056668 2402950205 2545070835 2883540246 3393427780 3844720328 4072113336 4805900410 5090141670 5767080492 6786855560 7208850615 9611800820 10180283340 11534160984 14417701230 19223601640 20360566680 28835402460 57670804920 1027020917617 2054041835234 3081062752851 4108083670468 5135104588085 6162125505702 8216167340936 10270209176170 12324251011404 15405313764255 20540418352340 24648502022808 30810627528510 41080836704680 61621255057020 123242510114040