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144780266268 = 223311611997851
BaseRepresentation
bin1000011011010110010…
…0111000101100011100
3111211200222121120022000
42012311210320230130
54333002222010033
6150302223322300
713313534646441
oct2066544705434
9454628546260
10144780266268
115644575aa20
1224086750390
1310864047411
1470164519c8
153b75721a13
hex21b5938b1c

144780266268 has 96 divisors (see below), whose sum is σ = 416192528640. Its totient is φ = 43153560000.

The previous prime is 144780266251. The next prime is 144780266269. The reversal of 144780266268 is 862662087441.

It is a happy number.

144780266268 is a `hidden beast` number, since 1 + 4 + 4 + 7 + 8 + 0 + 2 + 6 + 626 + 8 = 666.

It is a super-2 number, since 2×1447802662682 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144780266269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 926458 + ... + 1071393.

It is an arithmetic number, because the mean of its divisors is an integer number (4335338840).

Almost surely, 2144780266268 is an apocalyptic number.

144780266268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144780266268 is an abundant number, since it is smaller than the sum of its proper divisors (271412262372).

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

144780266268 is a wasteful number, since it uses less digits than its factorization.

144780266268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1997936 (or 1997928 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 144780266268 in words is "one hundred forty-four billion, seven hundred eighty million, two hundred sixty-six thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 1098 1188 1342 1647 2013 2196 2684 3294 4026 6039 6588 8052 12078 18117 24156 36234 72468 1997851 3995702 5993553 7991404 11987106 17980659 21976361 23974212 35961318 43952722 53941977 65929083 71922636 87905444 107883954 121868911 131858166 197787249 215767908 243737822 263716332 365606733 395574498 487475644 593361747 731213466 791148996 1096820199 1186723494 1340558021 1462426932 2193640398 2373446988 2681116042 3290460597 4021674063 4387280796 5362232084 6580921194 8043348126 12065022189 13161842388 16086696252 24130044378 36195066567 48260088756 72390133134 144780266268