Search a number
-
+
141414014410400 = 2552176767518013
BaseRepresentation
bin100000001001110110000100…
…000110000101111010100000
3200112201001021210211011000002
4200021312010012011322200
5122013411400142113100
61220432411255115132
741533553051333354
oct4011660406057240
9615631253734002
10141414014410400
114107138a52a496
1213a3ab97372aa8
1360ba3909005b4
1426cc690c81464
151153782b792d5
hex809d84185ea0

141414014410400 has 36 divisors (see below), whose sum is σ = 345226962681342. Its totient is φ = 56565605763840.

The previous prime is 141414014410387. The next prime is 141414014410481. The reversal of 141414014410400 is 4014410414141.

It can be written as a sum of positive squares in 3 ways, for example, as 131502271893136 + 9911742517264 = 11467444^2 + 3148292^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 88383758207 + ... + 88383759806.

Almost surely, 2141414014410400 is an apocalyptic number.

141414014410400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141414014410400 is an abundant number, since it is smaller than the sum of its proper divisors (203812948270942).

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

141414014410400 is a wasteful number, since it uses less digits than its factorization.

141414014410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176767518033 (or 176767518020 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 29.

Adding to 141414014410400 its reverse (4014410414141), we get a palindrome (145428424824541).

The spelling of 141414014410400 in words is "one hundred forty-one trillion, four hundred fourteen billion, fourteen million, four hundred ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 176767518013 353535036026 707070072052 883837590065 1414140144104 1767675180130 2828280288208 3535350360260 4419187950325 5656560576416 7070700720520 8838375900650 14141401441040 17676751801300 28282802882080 35353503602600 70707007205200 141414014410400