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332123043104040 = 23352767692025867
BaseRepresentation
bin100101110000100000110110…
…0000000011000010100101000
31121112221122121220210111202210
41023201001230000120110220
5322013000443013312130
63134211115241125120
7126646045422616236
oct11341015400302450
91545848556714683
10332123043104040
11969086564475a1
12312bb8071897a0
13113420b7889666
145c02babc01956
15285e4388265b0
hex12e106c018528

332123043104040 has 32 divisors (see below), whose sum is σ = 996369129312480. Its totient is φ = 88566144827712.

The previous prime is 332123043103961. The next prime is 332123043104077. The reversal of 332123043104040 is 40401340321233.

It is a happy number.

It is a super-2 number, since 2×3321230431040402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 332123043103989 and 332123043104007.

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, 1383846012814 + ... + 1383846013053.

It is an arithmetic number, because the mean of its divisors is an integer number (31136535291015).

Almost surely, 2332123043104040 is an apocalyptic number.

332123043104040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

332123043104040 is an abundant number, since it is smaller than the sum of its proper divisors (664246086208440).

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

332123043104040 is a wasteful number, since it uses less digits than its factorization.

332123043104040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2767692025881 (or 2767692025877 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 332123043104040 its reverse (40401340321233), we get a palindrome (372524383425273).

The spelling of 332123043104040 in words is "three hundred thirty-two trillion, one hundred twenty-three billion, forty-three million, one hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2767692025867 5535384051734 8303076077601 11070768103468 13838460129335 16606152155202 22141536206936 27676920258670 33212304310404 41515380388005 55353840517340 66424608620808 83030760776010 110707681034680 166061521552020 332123043104040