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1100141424144 = 24337596166159
BaseRepresentation
bin10000000000100101100…
…010011110111000010000
310220011122202011212012000
4100000211202132320100
5121011042201033034
62201221544434000
7142324346545560
oct20004542367020
93804582155160
101100141424144
11394627176054
1215926b178900
137c9871938b9
143b36619cda0
151d93d0d9599
hex1002589ee10

1100141424144 has 160 divisors (see below), whose sum is σ = 3670098432000. Its totient is φ = 308998509696.

The previous prime is 1100141424119. The next prime is 1100141424163. The reversal of 1100141424144 is 4414241410011.

1100141424144 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 1 + 414 + 241 + 4 + 4 = 666.

It is a super-2 number, since 2×11001414241442 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2904664 + ... + 3261495.

It is an arithmetic number, because the mean of its divisors is an integer number (22938115200).

Almost surely, 21100141424144 is an apocalyptic number.

1100141424144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1100141424144 is an abundant number, since it is smaller than the sum of its proper divisors (2569957007856).

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

1100141424144 is a wasteful number, since it uses less digits than its factorization.

1100141424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6166242 (or 6166230 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 1100141424144 its reverse (4414241410011), we get a palindrome (5514382834155).

The spelling of 1100141424144 in words is "one trillion, one hundred billion, one hundred forty-one million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 59 63 72 84 108 112 118 126 144 168 177 189 216 236 252 336 354 378 413 432 472 504 531 708 756 826 944 1008 1062 1239 1416 1512 1593 1652 2124 2478 2832 3024 3186 3304 3717 4248 4956 6372 6608 7434 8496 9912 11151 12744 14868 19824 22302 25488 29736 44604 59472 89208 178416 6166159 12332318 18498477 24664636 36996954 43163113 49329272 55495431 73993908 86326226 98658544 110990862 129489339 147987816 166486293 172652452 221981724 258978678 295975632 332972586 345304904 363803381 388468017 443963448 517957356 665945172 690609808 727606762 776936034 887926896 1035914712 1091410143 1165404051 1331890344 1455213524 1553872068 2071829424 2182820286 2330808102 2546623667 2663780688 2910427048 3107744136 3274230429 4365640572 4661616204 5093247334 5820854096 6215488272 6548460858 7639871001 8731281144 9323232408 9822691287 10186494668 13096921716 15279742002 17462562288 18646464816 19645382574 20372989336 22919613003 26193843432 30559484004 39290765148 40745978672 45839226006 52387686864 61118968008 68758839009 78581530296 91678452012 122237936016 137517678018 157163060592 183356904024 275035356036 366713808048 550070712072 1100141424144