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11101440144040 = 23512710332115511
BaseRepresentation
bin1010000110001100000101…
…1001010111001010101000
31110022021202110011220210021
42201203001121113022220
52423341222134102130
635335533045530224
72224024015162441
oct241430131271250
943267673156707
1011101440144040
1135a01046025a4
1212b3649a13974
13626b273c951c
142a54539982c8
15143b9206837a
hexa18c16572a8

11101440144040 has 64 divisors (see below), whose sum is σ = 25199301980160. Its totient is φ = 4401343941120.

The previous prime is 11101440144031. The next prime is 11101440144083. The reversal of 11101440144040 is 4044104410111.

It is a junction number, because it is equal to n+sod(n) for n = 11101440143996 and 11101440144014.

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, 4189885 + ... + 6305395.

It is an arithmetic number, because the mean of its divisors is an integer number (393739093440).

Almost surely, 211101440144040 is an apocalyptic number.

11101440144040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11101440144040 is an abundant number, since it is smaller than the sum of its proper divisors (14097861836120).

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

11101440144040 is a wasteful number, since it uses less digits than its factorization.

11101440144040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116682 (or 2116678 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 11101440144040 its reverse (4044104410111), we get a palindrome (15145544554151).

The spelling of 11101440144040 in words is "eleven trillion, one hundred one billion, four hundred forty million, one hundred forty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 127 254 508 635 1016 1033 1270 2066 2540 4132 5080 5165 8264 10330 20660 41320 131191 262382 524764 655955 1049528 1311910 2115511 2623820 4231022 5247640 8462044 10577555 16924088 21155110 42310220 84620440 268669897 537339794 1074679588 1343349485 2149359176 2185322863 2686698970 4370645726 5373397940 8741291452 10746795880 10926614315 17482582904 21853228630 43706457260 87412914520 277536003601 555072007202 1110144014404 1387680018005 2220288028808 2775360036010 5550720072020 11101440144040