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5414161356 = 22324113128001
BaseRepresentation
bin1010000101011010…
…11000101111001100
3111222022200220010200
411002231120233030
542042011130411
62253124133500
7251111416662
oct50255305714
914868626120
105414161356
11232917561a
121071237290
136838bab96
143950b0c32
1521a4b5e56
hex142b58bcc

5414161356 has 72 divisors (see below), whose sum is σ = 14127121008. Its totient is φ = 1747200000.

The previous prime is 5414161331. The next prime is 5414161391. The reversal of 5414161356 is 6531614145.

5414161356 is a `hidden beast` number, since 541 + 4 + 1 + 61 + 3 + 56 = 666.

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 5414161356.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179356 + ... + 207356.

It is an arithmetic number, because the mean of its divisors is an integer number (196210014).

Almost surely, 25414161356 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5414161356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7063560504).

5414161356 is an abundant number, since it is smaller than the sum of its proper divisors (8712959652).

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

5414161356 is a wasteful number, since it uses less digits than its factorization.

5414161356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28183 (or 28178 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 5414161356 is about 73580.9850165109. The cubic root of 5414161356 is about 1755.9429359504.

The spelling of 5414161356 in words is "five billion, four hundred fourteen million, one hundred sixty-one thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 131 164 246 262 369 393 492 524 738 786 1179 1476 1572 2358 4716 5371 10742 16113 21484 28001 32226 48339 56002 64452 84003 96678 112004 168006 193356 252009 336012 504018 1008036 1148041 2296082 3444123 3668131 4592164 6888246 7336262 10332369 11004393 13776492 14672524 20664738 22008786 33013179 41329476 44017572 66026358 132052716 150393371 300786742 451180113 601573484 902360226 1353540339 1804720452 2707080678 5414161356