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1067446311140 = 2251122319177979
BaseRepresentation
bin11111000100010001100…
…00100001100011100100
310210001021011120000210202
433202020300201203210
5114442112223424030
62134213355010032
7140056212636446
oct17421060414344
93701234500722
101067446311140
11381779683800
12152a65739918
13798766365a1
1439943c34496
151cb77a93745
hexf888c218e4

1067446311140 has 72 divisors (see below), whose sum is σ = 2571076710720. Its totient is φ = 371285654080.

The previous prime is 1067446311119. The next prime is 1067446311149. The reversal of 1067446311140 is 411136447601.

It is a super-2 number, since 2×10674463111402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1067446311094 and 1067446311103.

It is not an unprimeable number, because it can be changed into a prime (1067446311149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9533330 + ... + 9644649.

It is an arithmetic number, because the mean of its divisors is an integer number (35709398760).

Almost surely, 21067446311140 is an apocalyptic number.

1067446311140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1067446311140 is an abundant number, since it is smaller than the sum of its proper divisors (1503630399580).

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

1067446311140 is a wasteful number, since it uses less digits than its factorization.

1067446311140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19178033 (or 19178020 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 1067446311140 in words is "one trillion, sixty-seven billion, four hundred forty-six million, three hundred eleven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5566 11132 13915 27830 55660 19177979 38355958 76711916 95889895 191779790 210957769 383559580 421915538 441093517 843831076 882187034 1054788845 1764374068 2109577690 2205467585 2320535459 4219155380 4410935170 4641070918 4852028687 8821870340 9282141836 9704057374 11602677295 19408114748 23205354590 24260143435 46410709180 48520286870 53372315557 97040573740 106744631114 213489262228 266861577785 533723155570 1067446311140