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1342333413144 = 2332367148134301
BaseRepresentation
bin10011100010001001010…
…011100110011100011000
311202022210112010122210200
4103202021103212130120
5133443044323210034
62504354235342200
7165660162516063
oct23421123463430
94668715118720
101342333413144
1147830a243049
121981a08b1960
1399773720529
1448d7da018da
1524db56cda99
hex138894e6718

1342333413144 has 96 divisors (see below), whose sum is σ = 3647960072640. Its totient is φ = 445910976000.

The previous prime is 1342333413101. The next prime is 1342333413149. The reversal of 1342333413144 is 4413143332431.

1342333413144 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 3 + 334 + 1 + 314 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1342333413099 and 1342333413108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1342333413149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39116794 + ... + 39151094.

It is an arithmetic number, because the mean of its divisors is an integer number (37999584090).

Almost surely, 21342333413144 is an apocalyptic number.

It is an amenable number.

1342333413144 is an abundant number, since it is smaller than the sum of its proper divisors (2305626659496).

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

1342333413144 is a wasteful number, since it uses less digits than its factorization.

1342333413144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36161 (or 36154 counting only the distinct ones).

The product of its digits is 124416, while the sum is 36.

Adding to 1342333413144 its reverse (4413143332431), we get a palindrome (5755476745575).

The spelling of 1342333413144 in words is "one trillion, three hundred forty-two billion, three hundred thirty-three million, four hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 367 734 1101 1468 1481 2202 2936 2962 3303 4404 4443 5924 6606 8808 8886 11848 13212 13329 17772 26424 26658 34301 35544 53316 68602 102903 106632 137204 205806 274408 308709 411612 543527 617418 823224 1087054 1234836 1630581 2174108 2469672 3261162 4348216 4891743 6522324 9783486 12588467 13044648 19566972 25176934 37765401 39133944 50353868 50799781 75530802 100707736 101599562 113296203 151061604 152399343 203199124 226592406 302123208 304798686 406398248 453184812 457198029 609597372 906369624 914396058 1219194744 1828792116 3657584232 18643519627 37287039254 55930558881 74574078508 111861117762 149148157016 167791676643 223722235524 335583353286 447444471048 671166706572 1342333413144