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10424420040 = 2335296734451
BaseRepresentation
bin10011011010101100…
…00000011011001000
3222220111101101222010
421231112000123020
5132322122420130
64442223255520
7516220052106
oct115526003310
928814341863
1010424420040
11446a34a081
12202b14a5a0
13ca18cbca8
1470c682c76
154102970b0
hex26d5806c8

10424420040 has 128 divisors (see below), whose sum is σ = 32406998400. Its totient is φ = 2679398400.

The previous prime is 10424420033. The next prime is 10424420051. The reversal of 10424420040 is 4002442401.

It is a junction number, because it is equal to n+sod(n) for n = 10424419989 and 10424420016.

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, 2339815 + ... + 2344265.

It is an arithmetic number, because the mean of its divisors is an integer number (253179675).

Almost surely, 210424420040 is an apocalyptic number.

10424420040 is a gapful number since it is divisible by the number (10) 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 10424420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203499200).

10424420040 is an abundant number, since it is smaller than the sum of its proper divisors (21982578360).

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

10424420040 is a wasteful number, since it uses less digits than its factorization.

10424420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5163 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 10424420040 its reverse (4002442401), we get a palindrome (14426862441).

The spelling of 10424420040 in words is "ten billion, four hundred twenty-four million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 145 174 232 290 348 435 580 673 696 870 1160 1346 1740 2019 2692 3365 3480 4038 4451 5384 6730 8076 8902 10095 13353 13460 16152 17804 19517 20190 22255 26706 26920 35608 39034 40380 44510 53412 58551 66765 78068 80760 89020 97585 106824 117102 129079 133530 156136 178040 195170 234204 258158 267060 292755 387237 390340 468408 516316 534120 585510 645395 774474 780680 1032632 1171020 1290790 1548948 1936185 2342040 2581580 2995523 3097896 3872370 5163160 5991046 7744740 8986569 11982092 14977615 15489480 17973138 23964184 29955230 35946276 44932845 59910460 71892552 86870167 89865690 119820920 173740334 179731380 260610501 347480668 359462760 434350835 521221002 694961336 868701670 1042442004 1303052505 1737403340 2084884008 2606105010 3474806680 5212210020 10424420040