Search a number
-
+
105422253400144 = 24151431101241389
BaseRepresentation
bin10111111110000110000111…
…111101110010000001010000
3111211021021021002200212211001
4113332012013331302001100
5102304214233332301034
61012114151543031344
731130335500450142
oct2776060775620120
9454237232625731
10105422253400144
1130655365767a1a
12b9a765743b554
1346a9378030725
141c06670020c92
15c2c41c3bea14
hex5fe187f72050

105422253400144 has 40 divisors (see below), whose sum is σ = 206085353621760. Its totient is φ = 52240556208000.

The previous prime is 105422253400099. The next prime is 105422253400157. The reversal of 105422253400144 is 441004352224501.

It is a super-2 number, since 2×1054222534001442 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49579399 + ... + 51661990.

It is an arithmetic number, because the mean of its divisors is an integer number (5152133840544).

Almost surely, 2105422253400144 is an apocalyptic number.

It is an amenable number.

105422253400144 is a deficient number, since it is larger than the sum of its proper divisors (100663100221616).

105422253400144 is a wasteful number, since it uses less digits than its factorization.

105422253400144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101241979 (or 101241973 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 37.

The spelling of 105422253400144 in words is "one hundred five trillion, four hundred twenty-two billion, two hundred fifty-three million, four hundred thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 151 302 431 604 862 1208 1724 2416 3448 6896 65081 130162 260324 520648 1041296 101241389 202482778 404965556 809931112 1619862224 15287449739 30574899478 43635038659 61149798956 87270077318 122299597912 174540154636 244599195824 349080309272 698160618544 6588890837509 13177781675018 26355563350036 52711126700072 105422253400144