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40232334431100 = 223527139137829169
BaseRepresentation
bin10010010010111010100100…
…00000001001001101111100
312021110011200120010222122010
421021131102000021031330
520233131310103243400
6221322251305251220
711321455516113120
oct1111352200111574
9167404616128563
1040232334431100
1111901489a279a9
124619367493b10
13195ab7b7ba9b6
149d1380a77580
1549b806bdd450
hex24975200937c

40232334431100 has 144 divisors (see below), whose sum is σ = 133992005907200. Its totient is φ = 9129804088320.

The previous prime is 40232334431089. The next prime is 40232334431141. The reversal of 40232334431100 is 113443323204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 68622685 + ... + 69206484.

Almost surely, 240232334431100 is an apocalyptic number.

It is an amenable number.

40232334431100 is an abundant number, since it is smaller than the sum of its proper divisors (93759671476100).

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

40232334431100 is a wasteful number, since it uses less digits than its factorization.

40232334431100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137829332 (or 137829325 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 40232334431100 its reverse (113443323204), we get a palindrome (40345777754304).

The spelling of 40232334431100 in words is "forty trillion, two hundred thirty-two billion, three hundred thirty-four million, four hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 139 140 150 175 210 278 300 350 417 420 525 556 695 700 834 973 1050 1390 1668 1946 2085 2100 2780 2919 3475 3892 4170 4865 5838 6950 8340 9730 10425 11676 13900 14595 19460 20850 24325 29190 41700 48650 58380 72975 97300 145950 291900 137829169 275658338 413487507 551316676 689145845 826975014 964804183 1378291690 1653950028 1929608366 2067437535 2756583380 2894412549 3445729225 3859216732 4134875070 4824020915 5788825098 6891458450 8269750140 9648041830 10337187675 11577650196 13782916900 14472062745 19158254491 19296083660 20674375350 24120104575 28944125490 38316508982 41348750700 48240209150 57474763473 57888250980 72360313725 76633017964 95791272455 96480418300 114949526946 134107781437 144720627450 191582544910 229899053892 268215562874 287373817365 289441254900 383165089820 402323344311 478956362275 536431125748 574747634730 670538907185 804646688622 957912724550 1149495269460 1341077814370 1436869086825 1609293377244 1915825449100 2011616721555 2682155628740 2873738173650 3352694535925 4023233443110 5747476347300 6705389071850 8046466886220 10058083607775 13410778143700 20116167215550 40232334431100