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24234135240 = 2335744576473
BaseRepresentation
bin10110100100011101…
…111000111011001000
32022112220210121212110
4112210131320323020
5344112414311430
615044421342320
71515354515340
oct264435707310
968486717773
1024234135240
11a3065a0547
124843b679a0
1323929758c3
14125c785d20
1596c83e7b0
hex5a4778ec8

24234135240 has 128 divisors (see below), whose sum is σ = 83119944960. Its totient is φ = 5537132544.

The previous prime is 24234135223. The next prime is 24234135259. The reversal of 24234135240 is 4253143242.

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 = 24234135198 and 24234135207.

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, 3740644 + ... + 3747116.

It is an arithmetic number, because the mean of its divisors is an integer number (649374570).

Almost surely, 224234135240 is an apocalyptic number.

24234135240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24234135240 is an abundant number, since it is smaller than the sum of its proper divisors (58885809720).

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

24234135240 is a wasteful number, since it uses less digits than its factorization.

24234135240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10951 (or 10947 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 24234135240 its reverse (4253143242), we get a palindrome (28487278482).

The spelling of 24234135240 in words is "twenty-four billion, two hundred thirty-four million, one hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 4457 6473 8914 12946 13371 17828 19419 22285 25892 26742 31199 32365 35656 38838 44570 45311 51784 53484 62398 64730 66855 77676 89140 90622 93597 97095 106968 124796 129460 133710 135933 155352 155995 178280 181244 187194 194190 226555 249592 258920 267420 271866 311990 362488 374388 388380 453110 467985 534840 543732 623980 679665 748776 776760 906220 935970 1087464 1247960 1359330 1812440 1871940 2718660 3743880 5437320 28850161 57700322 86550483 115400644 144250805 173100966 201951127 230801288 288501610 346201932 403902254 432752415 577003220 605853381 692403864 807804508 865504830 1009755635 1154006440 1211706762 1615609016 1731009660 2019511270 2423413524 3029266905 3462019320 4039022540 4846827048 6058533810 8078045080 12117067620 24234135240