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1342232322431 = 711213971256693
BaseRepresentation
bin10011100010000011010…
…001111110000101111111
311202022112110220201102012
4103202003101332011333
5133442342433304211
62504340224521435
7165654524332010
oct23420321760577
94668473821365
101342232322431
11478268177100
12198172a8027b
13997587b7440
1448d70409007
1524dab8b0d8b
hex1388347e17f

1342232322431 has 48 divisors (see below), whose sum is σ = 1834531954752. Its totient is φ = 955488061440.

The previous prime is 1342232322407. The next prime is 1342232322451.

1342232322431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1342232322431 - 226 = 1342165213567 is a prime.

It is a super-2 number, since 2×13422323224312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342232322451) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 439721 + ... + 1696413.

It is an arithmetic number, because the mean of its divisors is an integer number (38219415724).

Almost surely, 21342232322431 is an apocalyptic number.

1342232322431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1342232322431 is a deficient number, since it is larger than the sum of its proper divisors (492299632321).

1342232322431 is a wasteful number, since it uses less digits than its factorization.

1342232322431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256832 (or 1256821 counting only the distinct ones).

The product of its digits is 41472, while the sum is 32.

The spelling of 1342232322431 in words is "one trillion, three hundred forty-two billion, two hundred thirty-two million, three hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 7 11 13 77 91 97 121 143 679 847 1001 1067 1261 1573 7469 8827 11011 11737 13871 82159 97097 152581 1068067 1256693 8796851 13823623 16337009 96765361 114359063 121899221 152059853 179707099 853294547 1064418971 1257949693 1340891431 1584689873 1976778089 9386240017 11092829111 13837446623 14749805741 17431588603 103248640187 122021120221 191747474633 1342232322431