Search a number
-
+
122557142456 = 2377130824231
BaseRepresentation
bin111001000100011111…
…0011001010110111000
3102201100012212220111022
41302020332121112320
54001444112024311
6132145120522012
711566036344140
oct1621076312670
9381305786438
10122557142456
1147a813480a1
121b904180308
13b731c02c08
145d08bcd920
1532c471c5db
hex1c88f995b8

122557142456 has 32 divisors (see below), whose sum is σ = 266321364480. Its totient is φ = 51784706400.

The previous prime is 122557142447. The next prime is 122557142459. The reversal of 122557142456 is 654241755221.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122557142459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15408140 + ... + 15416091.

It is an arithmetic number, because the mean of its divisors is an integer number (8322542640).

Almost surely, 2122557142456 is an apocalyptic number.

It is an amenable number.

122557142456 is an abundant number, since it is smaller than the sum of its proper divisors (143764222024).

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

122557142456 is a wasteful number, since it uses less digits than its factorization.

122557142456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30824315 (or 30824311 counting only the distinct ones).

The product of its digits is 672000, while the sum is 44.

Adding to 122557142456 its reverse (654241755221), we get a palindrome (776798897677).

The spelling of 122557142456 in words is "one hundred twenty-two billion, five hundred fifty-seven million, one hundred forty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1988 3976 30824231 61648462 123296924 215769617 246593848 431539234 863078468 1726156936 2188520401 4377040802 8754081604 15319642807 17508163208 30639285614 61278571228 122557142456