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1344621504402 = 23211611011102259
BaseRepresentation
bin10011100100010001101…
…011111110011110010010
311202112200222120201221100
4103210101223332132102
5134012241101120102
62505413253205230
7166100655131061
oct23442153763622
94675628521840
101344621504402
1147928386a960
1219871b030816
1399a49786097
14491198501d8
1524e9b4eba1c
hex13911afe792

1344621504402 has 96 divisors (see below), whose sum is σ = 3262283968320. Its totient is φ = 396812880000.

The previous prime is 1344621504389. The next prime is 1344621504407. The reversal of 1344621504402 is 2044051264431.

1344621504402 is a `hidden beast` number, since 1 + 3 + 4 + 4 + 62 + 150 + 440 + 2 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1344621504407) 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, 668749 + ... + 1771007.

It is an arithmetic number, because the mean of its divisors is an integer number (33982124670).

Almost surely, 21344621504402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344621504402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631141984160).

1344621504402 is an abundant number, since it is smaller than the sum of its proper divisors (1917662463918).

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

1344621504402 is a wasteful number, since it uses less digits than its factorization.

1344621504402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102440 (or 1102437 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 1344621504402 its reverse (2044051264431), we get a palindrome (3388672768833).

The spelling of 1344621504402 in words is "one trillion, three hundred forty-four billion, six hundred twenty-one million, five hundred four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 61 66 99 101 122 183 198 202 303 366 549 606 671 909 1098 1111 1342 1818 2013 2222 3333 4026 6039 6161 6666 9999 12078 12322 18483 19998 36966 55449 67771 110898 135542 203313 406626 609939 1102259 1219878 2204518 3306777 6613554 9920331 12124849 19840662 24249698 36374547 67237799 72749094 109123641 111328159 134475598 201713397 218247282 222656318 333984477 403426794 605140191 667968954 739615789 1001953431 1210280382 1224609749 1479231578 2003906862 2218847367 2449219498 3673829247 4437694734 6656542101 6791017699 7347658494 11021487741 13313084202 13582035398 20373053097 22042975482 40746106194 61119159291 74701194689 122238318582 149402389378 224103584067 448207168134 672310752201 1344621504402