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11441224000140 = 22351131559199609
BaseRepresentation
bin1010011001111101111000…
…0101111010001010001100
31111111202210120110020100020
42212133132011322022030
52444423111321001030
640200005321102140
72260413124252554
oct246373605721214
944452716406306
1011441224000140
113711217748810
121349476927950
1364cb9759018c
142b7a886c2164
1514c92c266510
hexa67de17a28c

11441224000140 has 96 divisors (see below), whose sum is σ = 36075085240320. Its totient is φ = 2684158118400.

The previous prime is 11441224000139. The next prime is 11441224000147. The reversal of 11441224000140 is 4100042214411.

It is a self number, because there is not a number n which added to its sum of digits gives 11441224000140.

It is not an unprimeable number, because it can be changed into a prime (11441224000147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279579345 + ... + 279620264.

It is an arithmetic number, because the mean of its divisors is an integer number (375782137920).

Almost surely, 211441224000140 is an apocalyptic number.

11441224000140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11441224000140 is an abundant number, since it is smaller than the sum of its proper divisors (24633861240180).

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

11441224000140 is a wasteful number, since it uses less digits than its factorization.

11441224000140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559199663 (or 559199661 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 11441224000140 its reverse (4100042214411), we get a palindrome (15541266214551).

The spelling of 11441224000140 in words is "eleven trillion, four hundred forty-one billion, two hundred twenty-four million, one hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 124 132 155 165 186 220 310 330 341 372 465 620 660 682 930 1023 1364 1705 1860 2046 3410 4092 5115 6820 10230 20460 559199609 1118399218 1677598827 2236798436 2795998045 3355197654 5591996090 6151195699 6710395308 8387994135 11183992180 12302391398 16775988270 17335187879 18453587097 24604782796 30755978495 33551976540 34670375758 36907174194 52005563637 61511956990 69340751516 73814348388 86675939395 92267935485 104011127274 123023913980 173351878790 184535870970 190687066669 208022254548 260027818185 346703757580 369071741940 381374133338 520055636370 572061200007 762748266676 953435333345 1040111272740 1144122400014 1906870666690 2288244800028 2860306000035 3813741333380 5720612000070 11441224000140