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36141114429441 = 3371911389065127
BaseRepresentation
bin10000011011110110000100…
…10010011001000000000001
311201222001112101221001221000
420031323002102121000001
514214114000243220231
6204510555422122213
710420052335641210
oct1015730222310001
9151861471831830
1036141114429441
11105743a6997a0a
124078482120369
1317221281c4728
148cd34c7c1077
1542a1a77196e6
hex20dec2499001

36141114429441 has 64 divisors (see below), whose sum is σ = 64981917388800. Its totient is φ = 19391971753728.

The previous prime is 36141114429389. The next prime is 36141114429461. The reversal of 36141114429441 is 14492441114163.

36141114429441 is a `hidden beast` number, since 3 + 6 + 1 + 4 + 111 + 442 + 94 + 4 + 1 = 666.

It is not a de Polignac number, because 36141114429441 - 26 = 36141114429377 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36141114429461) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44126781 + ... + 44938346.

It is an arithmetic number, because the mean of its divisors is an integer number (1015342459200).

Almost surely, 236141114429441 is an apocalyptic number.

It is an amenable number.

36141114429441 is a deficient number, since it is larger than the sum of its proper divisors (28840802959359).

36141114429441 is a wasteful number, since it uses less digits than its factorization.

36141114429441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89065275 (or 89065269 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 36141114429441 in words is "thirty-six trillion, one hundred forty-one billion, one hundred fourteen million, four hundred twenty-nine thousand, four hundred forty-one".

Divisors: 1 3 7 9 19 21 27 57 63 113 133 171 189 339 399 513 791 1017 1197 2147 2373 3051 3591 6441 7119 15029 19323 21357 45087 57969 135261 405783 89065127 267195381 623455889 801586143 1692237413 1870367667 2404758429 5076712239 5611103001 10064359351 11845661891 15230136717 16833309003 30193078053 35536985673 45690410151 70450515457 90579234159 106610957019 191222827669 211351546371 271737702477 319832871057 573668483007 634054639113 1338559793683 1721005449021 1902163917339 4015679381049 5163016347063 12047038143147 36141114429441