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1312442467743 = 311971039534177
BaseRepresentation
bin10011000110010011101…
…010101100010110011111
311122110122101001022012210
4103012103222230112133
5133000340232431433
62442532220531503
7163551355623501
oct23062352542637
94573571038183
101312442467743
11466670615390
1219243a3b0b93
13969bbb1c3a4
1447745c63d71
1524216447463
hex13193aac59f

1312442467743 has 64 divisors (see below), whose sum is σ = 1949923003392. Its totient is φ = 778572103680.

The previous prime is 1312442467741. The next prime is 1312442467753. The reversal of 1312442467743 is 3477642442131.

It is a happy number.

It is not a de Polignac number, because 1312442467743 - 21 = 1312442467741 is a prime.

It is a super-2 number, since 2×13124424677432 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1312442467692 and 1312442467701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312442467741) 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, 314204871 + ... + 314209047.

It is an arithmetic number, because the mean of its divisors is an integer number (30467546928).

Almost surely, 21312442467743 is an apocalyptic number.

1312442467743 is a deficient number, since it is larger than the sum of its proper divisors (637480535649).

1312442467743 is a wasteful number, since it uses less digits than its factorization.

1312442467743 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5344.

The product of its digits is 2709504, while the sum is 48.

The spelling of 1312442467743 in words is "one trillion, three hundred twelve billion, four hundred forty-two million, four hundred sixty-seven thousand, seven hundred forty-three".

Divisors: 1 3 11 33 97 103 291 309 953 1067 1133 2859 3201 3399 4177 9991 10483 12531 29973 31449 45947 92441 98159 109901 137841 277323 294477 329703 405169 430231 1016851 1079749 1215507 1290693 3050553 3239247 3980681 4456859 4732541 9521423 11942043 13370577 14197623 28564269 41732407 43787491 104735653 125197221 131362473 314206959 386126057 410010143 459056477 1158378171 1230030429 1377169431 4247386627 4510111573 12742159881 13530334719 39770983871 119312951613 437480822581 1312442467743