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1014019501068 = 223273292831729
BaseRepresentation
bin11101100000110000100…
…01011010110000001100
310120221100202120212111100
432300120101122300030
5113103202443013233
62053500101023100
7133155230355000
oct16603021326014
93527322525440
101014019501068
11361052633612
121446350b4a90
13748109449c2
1437116358700
151b59c44c813
hexec1845ac0c

1014019501068 has 144 divisors (see below), whose sum is σ = 3092249160000. Its totient is φ = 279729418752.

The previous prime is 1014019501067. The next prime is 1014019501087. The reversal of 1014019501068 is 8601059104101.

It is a happy number.

1014019501068 is a `hidden beast` number, since 1 + 0 + 140 + 1 + 9 + 501 + 0 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1014019501063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1057773 + ... + 1773956.

It is an arithmetic number, because the mean of its divisors is an integer number (21473952500).

Almost surely, 21014019501068 is an apocalyptic number.

1014019501068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1014019501068 is an abundant number, since it is smaller than the sum of its proper divisors (2078229658932).

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

1014019501068 is a wasteful number, since it uses less digits than its factorization.

1014019501068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831789 (or 2831770 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The spelling of 1014019501068 in words is "one trillion, fourteen billion, nineteen million, five hundred one thousand, sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 29 36 42 49 58 63 84 87 98 116 126 147 174 196 203 252 261 294 343 348 406 441 522 588 609 686 812 882 1029 1044 1218 1372 1421 1764 1827 2058 2436 2842 3087 3654 4116 4263 5684 6174 7308 8526 9947 12348 12789 17052 19894 25578 29841 39788 51156 59682 89523 119364 179046 358092 2831729 5663458 8495187 11326916 16990374 19822103 25485561 33980748 39644206 50971122 59466309 79288412 82120141 101942244 118932618 138754721 164240282 178398927 237865236 246360423 277509442 328480564 356797854 416264163 492720846 555018884 574840987 713595708 739081269 832528326 971283047 985441692 1149681974 1248792489 1478162538 1665056652 1724522961 1942566094 2299363948 2497584978 2913849141 2956325076 3449045922 3885132188 4023886909 4995169956 5173568883 5827698282 6898091844 8047773818 8741547423 10347137766 11655396564 12071660727 16095547636 17483094846 20694275532 24143321454 28167208363 34966189692 36214982181 48286642908 56334416726 72429964362 84501625089 112668833452 144859928724 169003250178 253504875267 338006500356 507009750534 1014019501068