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1341144422331 = 373171180116111
BaseRepresentation
bin10011100001000010011…
…011111101011110111011
311202012201122211200000220
4103201002123331132323
5133433130433003311
62504040243231123
7165615544332420
oct23410233753673
94665648750026
101341144422331
1147785a07670a
12197b0a6784a3
13996142b207c
1448ca9b39d47
1524d4611a206
hex138426fd7bb

1341144422331 has 64 divisors (see below), whose sum is σ = 2140605775872. Its totient is φ = 730749600000.

The previous prime is 1341144422287. The next prime is 1341144422363. The reversal of 1341144422331 is 1332244411431.

It is a happy number.

It is not a de Polignac number, because 1341144422331 - 219 = 1341143898043 is a prime.

It is a super-2 number, since 2×13411444223312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1341144422292 and 1341144422301.

It is not an unprimeable number, because it can be changed into a prime (1341144422131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83235966 + ... + 83252076.

It is an arithmetic number, because the mean of its divisors is an integer number (33446965248).

Almost surely, 21341144422331 is an apocalyptic number.

1341144422331 is a deficient number, since it is larger than the sum of its proper divisors (799461353541).

1341144422331 is a wasteful number, since it uses less digits than its factorization.

1341144422331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18024.

The product of its digits is 27648, while the sum is 33.

Adding to 1341144422331 its reverse (1332244411431), we get a palindrome (2673388833762).

The spelling of 1341144422331 in words is "one trillion, three hundred forty-one billion, one hundred forty-four million, four hundred twenty-two thousand, three hundred thirty-one".

Divisors: 1 3 7 21 31 71 93 213 217 497 651 1491 1801 2201 5403 6603 12607 15407 16111 37821 46221 48333 55831 112777 127871 167493 338331 383613 390817 499441 895097 1143881 1172451 1498323 2685291 3431643 3496087 3964001 8007167 10488261 11892003 24021501 27748007 29015911 35460311 83244021 87047733 106380933 203111377 248222177 609334131 744666531 899493241 2060129681 2698479723 6180389043 6296452687 14420907767 18889358061 43262723301 63864020111 191592060333 447048140777 1341144422331