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1101441244240 = 24529617782937
BaseRepresentation
bin10000000001110011000…
…000111001110001010000
310220022000100000120011001
4100001303000321301100
5121021222424303430
62201554540231344
7142401512046541
oct20016300716120
93808010016131
101101441244240
11395133960137
1215957253b554
137cb33567a0c
143b44aa744c8
151d9b72913ca
hex10073039c50

1101441244240 has 80 divisors (see below), whose sum is σ = 2692585230480. Its totient is φ = 418410639360.

The previous prime is 1101441244237. The next prime is 1101441244307. The reversal of 1101441244240 is 424421441011.

It can be written as a sum of positive squares in 8 ways, for example, as 240264668224 + 861176576016 = 490168^2 + 927996^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1101441244199 and 1101441244208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3749949 + ... + 4032988.

It is an arithmetic number, because the mean of its divisors is an integer number (33657315381).

Almost surely, 21101441244240 is an apocalyptic number.

1101441244240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101441244240 is an abundant number, since it is smaller than the sum of its proper divisors (1591143986240).

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

1101441244240 is a wasteful number, since it uses less digits than its factorization.

1101441244240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7783040 (or 7783034 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 1101441244240 its reverse (424421441011), we get a palindrome (1525862685251).

The spelling of 1101441244240 in words is "one trillion, one hundred one billion, four hundred forty-one million, two hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 61 80 116 122 145 232 244 290 305 464 488 580 610 976 1160 1220 1769 2320 2440 3538 4880 7076 8845 14152 17690 28304 35380 70760 141520 7782937 15565874 31131748 38914685 62263496 77829370 124526992 155658740 225705173 311317480 451410346 474759157 622634960 902820692 949518314 1128525865 1805641384 1899036628 2257051730 2373795785 3611282768 3798073256 4514103460 4747591570 7596146512 9028206920 9495183140 13768015553 18056413840 18990366280 27536031106 37980732560 55072062212 68840077765 110144124424 137680155530 220288248848 275360311060 550720622120 1101441244240