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131223041034440 = 2355695765511469
BaseRepresentation
bin11101110101100010111110…
…101111110100100011001000
3122012121210121100111020000012
4131311202332233310203020
5114144424242001100230
61143031011031531052
736432360200031155
oct3565427657644310
9565553540436005
10131223041034440
11388a2419760543
1212873aa2b29a88
13582b383598684
14245932c81722c
15102862be9c395
hex7758bebf48c8

131223041034440 has 32 divisors (see below), whose sum is σ = 295770738411000. Its totient is φ = 52396968221184.

The previous prime is 131223041034403. The next prime is 131223041034457. The reversal of 131223041034440 is 44430140322131.

It can be written as a sum of positive squares in 4 ways, for example, as 97642105485604 + 33580935548836 = 9881402^2 + 5794906^2 .

It is a super-2 number, since 2×1312230410344402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 131223041034397 and 131223041034406.

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, 2882732975 + ... + 2882778494.

Almost surely, 2131223041034440 is an apocalyptic number.

131223041034440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131223041034440 is an abundant number, since it is smaller than the sum of its proper divisors (164547697376560).

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

131223041034440 is a wasteful number, since it uses less digits than its factorization.

131223041034440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5765512049 (or 5765512045 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 131223041034440 its reverse (44430140322131), we get a palindrome (175653181356571).

The spelling of 131223041034440 in words is "one hundred thirty-one trillion, two hundred twenty-three billion, forty-one million, thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 569 1138 2276 2845 4552 5690 11380 22760 5765511469 11531022938 23062045876 28827557345 46124091752 57655114690 115310229380 230620458760 3280576025861 6561152051722 13122304103444 16402880129305 26244608206888 32805760258610 65611520517220 131223041034440