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1364340163140 = 223258681873133
BaseRepresentation
bin10011110110101001000…
…000101100001001000100
311211102121012201101112100
4103312221000230021010
5134323132040210030
62522434052352100
7200366423020053
oct23665100541104
94742535641470
101364340163140
114866824aa039
121a0502915630
139b86ca969a6
144a06a61c39a
15257526e2360
hex13da902c244

1364340163140 has 72 divisors (see below), whose sum is σ = 4138979965848. Its totient is φ = 363781716480.

The previous prime is 1364340163091. The next prime is 1364340163141. The reversal of 1364340163140 is 413610434631.

1364340163140 is a `hidden beast` number, since 1 + 3 + 643 + 4 + 0 + 1 + 6 + 3 + 1 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23598489924 + 1340741673216 = 153618^2 + 1157904^2 .

It is a super-2 number, since 2×13643401631402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1364340163095 and 1364340163104.

It is not an unprimeable number, because it can be changed into a prime (1364340163141) 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, 1126014 + ... + 1999146.

It is an arithmetic number, because the mean of its divisors is an integer number (57485832859).

Almost surely, 21364340163140 is an apocalyptic number.

1364340163140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1364340163140 is an abundant number, since it is smaller than the sum of its proper divisors (2774639802708).

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

1364340163140 is a wasteful number, since it uses less digits than its factorization.

1364340163140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881829 (or 881824 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 1364340163140 its reverse (413610434631), we get a palindrome (1777950597771).

The spelling of 1364340163140 in words is "one trillion, three hundred sixty-four billion, three hundred forty million, one hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 8681 17362 26043 34724 43405 52086 78129 86810 104172 130215 156258 173620 260430 312516 390645 520860 781290 873133 1562580 1746266 2619399 3492532 4365665 5238798 7858197 8731330 10477596 13096995 15716394 17462660 26193990 31432788 39290985 52387980 78581970 157163940 7579667573 15159335146 22739002719 30318670292 37898337865 45478005438 68217008157 75796675730 90956010876 113695013595 136434016314 151593351460 227390027190 272868032628 341085040785 454780054380 682170081570 1364340163140