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6141214164024 = 2332292941194523
BaseRepresentation
bin101100101011101110011…
…1000111000010000111000
3210202002112202220100120100
41121113130320320100320
51301104201311222044
621021122420355400
71202455004050242
oct131273470702070
923662482810510
106141214164024
111a58524326a35
12832260245b60
13357163635234
14173344797092
15a9b31591869
hex595dce38438

6141214164024 has 48 divisors (see below), whose sum is σ = 17205987965400. Its totient is φ = 1976482718784.

The previous prime is 6141214163947. The next prime is 6141214164031. The reversal of 6141214164024 is 4204614121416.

6141214164024 is a `hidden beast` number, since 6 + 1 + 4 + 1 + 2 + 1 + 4 + 1 + 640 + 2 + 4 = 666.

It is a super-2 number, since 2×61412141640242 (a number of 26 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6141214164024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1470595174 + ... + 1470599349.

Almost surely, 26141214164024 is an apocalyptic number.

It is an amenable number.

6141214164024 is an abundant number, since it is smaller than the sum of its proper divisors (11064773801376).

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

6141214164024 is a wasteful number, since it uses less digits than its factorization.

6141214164024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941194564 (or 2941194557 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 6141214164024 in words is "six trillion, one hundred forty-one billion, two hundred fourteen million, one hundred sixty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 232 261 348 522 696 1044 2088 2941194523 5882389046 8823583569 11764778092 17647167138 23529556184 26470750707 35294334276 52941501414 70588668552 85294641167 105883002828 170589282334 211766005656 255883923501 341178564668 511767847002 682357129336 767651770503 1023535694004 1535303541006 2047071388008 3070607082012 6141214164024