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10024231440 = 243547919967
BaseRepresentation
bin10010101010111110…
…11010001000010000
3221212121100201102010
421111133122020100
5131012200401230
64334410022520
7503260363356
oct112537321020
927777321363
1010024231440
1142844654a3
121b39117a40
13c39a228c2
146b146d7d6
153da0979b0
hex2557da210

10024231440 has 160 divisors (see below), whose sum is σ = 31803678720. Its totient is φ = 2610703872.

The previous prime is 10024231421. The next prime is 10024231453. The reversal of 10024231440 is 4413242001.

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, 10365837 + ... + 10366803.

It is an arithmetic number, because the mean of its divisors is an integer number (198772992).

Almost surely, 210024231440 is an apocalyptic number.

10024231440 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 10024231440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15901839360).

10024231440 is an abundant number, since it is smaller than the sum of its proper divisors (21779447280).

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

10024231440 is a wasteful number, since it uses less digits than its factorization.

10024231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10024231440 its reverse (4413242001), we get a palindrome (14437473441).

The spelling of 10024231440 in words is "ten billion, twenty-four million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 919 940 967 1128 1410 1838 1880 1934 2256 2757 2820 2901 3676 3760 3868 4595 4835 5514 5640 5802 7352 7736 9190 9670 11028 11280 11604 13785 14505 14704 15472 18380 19340 22056 23208 27570 29010 36760 38680 43193 44112 45449 46416 55140 58020 73520 77360 86386 90898 110280 116040 129579 136347 172772 181796 215965 220560 227245 232080 259158 272694 345544 363592 431930 454490 518316 545388 647895 681735 691088 727184 863860 888673 908980 1036632 1090776 1295790 1363470 1727720 1777346 1817960 2073264 2181552 2591580 2666019 2726940 3455440 3554692 3635920 4443365 5183160 5332038 5453880 7109384 8886730 10366320 10664076 10907760 13330095 14218768 17773460 21328152 26660190 35546920 41767631 42656304 53320380 71093840 83535262 106640760 125302893 167070524 208838155 213281520 250605786 334141048 417676310 501211572 626514465 668282096 835352620 1002423144 1253028930 1670705240 2004846288 2506057860 3341410480 5012115720 10024231440