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10024301040 = 2435134374719
BaseRepresentation
bin10010101010111111…
…01011000111110000
3221212121111020212220
421111133223013300
5131012210113130
64334411321040
7503261103315
oct112537530760
927777436786
1010024301040
114284502816
121b39150180
13c39a484a0
146b148ad0c
153da0ad410
hex2557eb1f0

10024301040 has 160 divisors (see below), whose sum is σ = 34244474880. Its totient is φ = 2410103808.

The previous prime is 10024301003. The next prime is 10024301059. The reversal of 10024301040 is 4010342001.

It is a super-2 number, since 2×100243010402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96801 + ... + 171519.

It is an arithmetic number, because the mean of its divisors is an integer number (214027968).

Almost surely, 210024301040 is an apocalyptic number.

10024301040 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 10024301040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17122237440).

10024301040 is an abundant number, since it is smaller than the sum of its proper divisors (24220173840).

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

10024301040 is a wasteful number, since it uses less digits than its factorization.

10024301040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74791 (or 74785 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10024301040 its reverse (4010342001), we get a palindrome (14034643041).

The spelling of 10024301040 in words is "ten billion, twenty-four million, three hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 156 172 195 208 215 240 258 260 312 344 390 430 516 520 559 624 645 688 780 860 1032 1040 1118 1290 1560 1677 1720 2064 2236 2580 2795 3120 3354 3440 4472 5160 5590 6708 8385 8944 10320 11180 13416 16770 22360 26832 33540 44720 67080 74719 134160 149438 224157 298876 373595 448314 597752 747190 896628 971347 1120785 1195504 1494380 1793256 1942694 2241570 2914041 2988760 3212917 3586512 3885388 4483140 4856735 5828082 5977520 6425834 7770776 8966280 9638751 9713470 11656164 12851668 14570205 15541552 16064585 17932560 19277502 19426940 23312328 25703336 29140410 32129170 38555004 38853880 41767921 46624656 48193755 51406672 58280820 64258340 77110008 77707760 83535842 96387510 116561640 125303763 128516680 154220016 167071684 192775020 208839605 233123280 250607526 257033360 334143368 385550040 417679210 501215052 626518815 668286736 771100080 835358420 1002430104 1253037630 1670716840 2004860208 2506075260 3341433680 5012150520 10024301040