Search a number
-
+
1342664383044 = 2231914946784631
BaseRepresentation
bin10011100010011101000…
…010001001101001000100
311202100122120220200011010
4103202131002021221010
5133444234040224134
62504451141242220
7166001321643645
oct23423502115104
94670576820133
101342664383044
1147846a04a696
12198273703370
13997c71728ca
1448db19576cc
1524dd47a8ce9
hex1389d089a44

1342664383044 has 96 divisors (see below), whose sum is σ = 3327053184000. Its totient is φ = 420246852480.

The previous prime is 1342664383043. The next prime is 1342664383051. The reversal of 1342664383044 is 4403834662431.

It is a junction number, because it is equal to n+sod(n) for n = 1342664382984 and 1342664383002.

It is not an unprimeable number, because it can be changed into a prime (1342664383043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15822609 + ... + 15907239.

It is an arithmetic number, because the mean of its divisors is an integer number (34656804000).

Almost surely, 21342664383044 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 1342664383044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663526592000).

1342664383044 is an abundant number, since it is smaller than the sum of its proper divisors (1984388800956).

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

1342664383044 is a wasteful number, since it uses less digits than its factorization.

1342664383044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85273 (or 85271 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 48.

The spelling of 1342664383044 in words is "one trillion, three hundred forty-two billion, six hundred sixty-four million, three hundred eighty-three thousand, forty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 149 228 298 447 467 596 894 934 1401 1788 1868 2802 2831 5604 5662 8493 8873 11324 16986 17746 26619 33972 35492 53238 69583 84631 106476 139166 169262 208749 253893 278332 338524 417498 507786 834996 1015572 1322077 1607989 2644154 3215978 3966231 4823967 5288308 6431956 7932462 9647934 12610019 15864924 19295868 25220038 37830057 39522677 50440076 75660114 79045354 118568031 151320228 158090708 237136062 239590361 474272124 479180722 718771083 750930863 958361444 1437542166 1501861726 2252792589 2875084332 3003723452 4505585178 5888878873 9011170356 11777757746 17666636619 23555515492 35333273238 70666546476 111888698587 223777397174 335666095761 447554794348 671332191522 1342664383044