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40332022312040 = 23523611290755681
BaseRepresentation
bin10010010101110100001111…
…10111001110110001101000
312021210200222222111001000122
421022322013313032301220
520241244440202441130
6221440135242422412
711331615053115404
oct1112720767166150
9167720888431018
1040332022312040
111193a795161368
124634748801a08
1319673a77483b4
149d611a48c104
1549e1dd8232e5
hex24ae87dcec68

40332022312040 has 128 divisors (see below), whose sum is σ = 96254096843520. Its totient is φ = 15176960409600.

The previous prime is 40332022312033. The next prime is 40332022312061. The reversal of 40332022312040 is 4021322023304.

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, 724313000 + ... + 724368680.

It is an arithmetic number, because the mean of its divisors is an integer number (751985131590).

Almost surely, 240332022312040 is an apocalyptic number.

40332022312040 is a gapful number since it is divisible by the number (40) 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 40332022312040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48127048421760).

40332022312040 is an abundant number, since it is smaller than the sum of its proper divisors (55922074531480).

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

40332022312040 is a wasteful number, since it uses less digits than its factorization.

40332022312040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68683 (or 68679 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 40332022312040 its reverse (4021322023304), we get a palindrome (44353344335344).

The spelling of 40332022312040 in words is "forty trillion, three hundred thirty-two billion, twenty-two million, three hundred twelve thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 40 46 61 92 115 122 184 230 244 305 460 488 610 920 1220 1403 2440 2806 5612 7015 11224 12907 14030 25814 28060 51628 55681 56120 64535 103256 111362 129070 222724 258140 278405 296861 445448 516280 556810 593722 787327 1113620 1187444 1280663 1484305 1574654 2227240 2374888 2561326 2968610 3149308 3396541 3936635 5122652 5937220 6298616 6403315 6793082 7873270 10245304 11874440 12806630 13586164 15746540 16982705 18108521 25613260 27172328 31493080 33965410 36217042 51226520 67930820 72434084 78120443 90542605 135861640 144868168 156240886 181085210 312481772 362170420 390602215 624963544 718674667 724340840 781204430 1437349334 1562408860 2874698668 3124817720 3593373335 5749397336 7186746670 14373493340 16529517341 28746986680 33059034682 43839154687 66118069364 82647586705 87678309374 132236138728 165295173410 175356618748 219195773435 330590346820 350713237496 438391546870 661180693640 876783093740 1008300557801 1753566187480 2016601115602 4033202231204 5041502789005 8066404462408 10083005578010 20166011156020 40332022312040