Search a number
-
+
1344622251232 = 25135999754949
BaseRepresentation
bin10011100100010001101…
…110110100110011100000
311202112201000222200101201
4103210101232310303200
5134012241244014412
62505413321210544
7166100664361321
oct23442156646340
94675630880351
101344622251232
1147928422aa77
1219871b330a54
1399a49987cb0
14491199a6448
1524e9b5e7e57
hex13911bb4ce0

1344622251232 has 96 divisors (see below), whose sum is σ = 2902138092000. Its totient is φ = 609453324288.

The previous prime is 1344622251227. The next prime is 1344622251241. The reversal of 1344622251232 is 2321522264431.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1344622251191 and 1344622251200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24442894 + ... + 24497842.

It is an arithmetic number, because the mean of its divisors is an integer number (30230605125).

Almost surely, 21344622251232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1344622251232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451069046000).

1344622251232 is an abundant number, since it is smaller than the sum of its proper divisors (1557515840768).

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

1344622251232 is a wasteful number, since it uses less digits than its factorization.

1344622251232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56028 (or 56020 counting only the distinct ones).

The product of its digits is 138240, while the sum is 37.

The spelling of 1344622251232 in words is "one trillion, three hundred forty-four billion, six hundred twenty-two million, two hundred fifty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 59 104 118 208 236 416 472 767 944 997 1534 1888 1994 3068 3988 6136 7976 12272 12961 15952 24544 25922 31904 51844 54949 58823 103688 109898 117646 207376 219796 235292 414752 439592 470584 714337 764699 879184 941168 1428674 1529398 1758368 1882336 2857348 3058796 3241991 5714696 6117592 6483982 11429392 12235184 12967964 22858784 24470368 25935928 42145883 51871856 54784153 84291766 103743712 109568306 168583532 219136612 337167064 438273224 674334128 712193989 876546448 1348668256 1424387978 1753092896 2848775956 3232265027 5697551912 6464530054 11395103824 12929060108 22790207648 25858120216 42019445351 51716240432 84038890702 103432480864 168077781404 336155562808 672311125616 1344622251232