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10041233300240 = 2452353367280561
BaseRepresentation
bin1001001000011110100000…
…1001001101101100010000
31022112221011210221221012112
42102013220021031230100
52304003421211101430
633204513501444452
72054312056535522
oct222075011155420
938487153857175
1010041233300240
11322151047285a
121162084870728
1357ab6589142c
14269dd9417a12
151262ded42195
hex921e824db10

10041233300240 has 160 divisors (see below), whose sum is σ = 24888264477696. Its totient is φ = 3759091015680.

The previous prime is 10041233300233. The next prime is 10041233300269. The reversal of 10041233300240 is 4200333214001.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35649560 + ... + 35930120.

Almost surely, 210041233300240 is an apocalyptic number.

10041233300240 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 10041233300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12444132238848).

10041233300240 is an abundant number, since it is smaller than the sum of its proper divisors (14847031177456).

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

10041233300240 is a wasteful number, since it uses less digits than its factorization.

10041233300240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281017 (or 281011 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 10041233300240 its reverse (4200333214001), we get a palindrome (14241566514241).

The spelling of 10041233300240 in words is "ten trillion, forty-one billion, two hundred thirty-three million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 53 80 92 106 115 184 212 230 265 367 368 424 460 530 734 848 920 1060 1219 1468 1835 1840 2120 2438 2936 3670 4240 4876 5872 6095 7340 8441 9752 12190 14680 16882 19451 19504 24380 29360 33764 38902 42205 48760 67528 77804 84410 97255 97520 135056 155608 168820 194510 280561 311216 337640 389020 447373 561122 675280 778040 894746 1122244 1402805 1556080 1789492 2236865 2244488 2805610 3578984 4473730 4488976 5611220 6452903 7157968 8947460 11222440 12905806 14869733 17894920 22444880 25811612 29739466 32264515 35789840 51623224 59478932 64529030 74348665 102965887 103246448 118957864 129058060 148697330 205931774 237915728 258116120 297394660 342003859 411863548 514829435 516232240 594789320 684007718 823727096 1029658870 1189578640 1368015436 1647454192 1710019295 2059317740 2368215401 2736030872 3420038590 4118635480 4736430802 5457192011 5472061744 6840077180 8237270960 9472861604 10914384022 11841077005 13680154360 18945723208 21828768044 23682154010 27285960055 27360308720 37891446416 43657536088 47364308020 54571920110 87315072176 94728616040 109143840220 125515416253 189457232080 218287680440 251030832506 436575360880 502061665012 627577081265 1004123330024 1255154162530 2008246660048 2510308325060 5020616650120 10041233300240