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1320940648704 = 2839722977431
BaseRepresentation
bin10011001110001110001…
…100101011100100000000
311200021120121212121220210
4103032032030223210000
5133120241301224304
62450455354234120
7164302066153335
oct23161614534400
94607517777823
101320940648704
1146a231617536
12194010425940
139774462b631
1447d1076c98c
152456254bc89
hex1338e32b900

1320940648704 has 144 divisors (see below), whose sum is σ = 3567428520320. Its totient is φ = 433865687040.

The previous prime is 1320940648639. The next prime is 1320940648787. The reversal of 1320940648704 is 4078460490231.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17020869 + ... + 17098299.

Almost surely, 21320940648704 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 1320940648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783714260160).

1320940648704 is an abundant number, since it is smaller than the sum of its proper divisors (2246487871616).

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

1320940648704 is an equidigital number, since it uses as much as digits as its factorization.

1320940648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77776 (or 77762 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 1320940648704 in words is "one trillion, three hundred twenty billion, nine hundred forty million, six hundred forty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 128 192 194 229 256 291 384 388 458 582 687 768 776 916 1164 1374 1552 1832 2328 2748 3104 3664 4656 5496 6208 7328 9312 10992 12416 14656 18624 21984 22213 24832 29312 37248 43968 44426 58624 66639 74496 77431 87936 88852 133278 154862 175872 177704 232293 266556 309724 355408 464586 533112 619448 710816 929172 1066224 1238896 1421632 1858344 2132448 2477792 2843264 3716688 4264896 4955584 5686528 7433376 7510807 8529792 9911168 14866752 15021614 17059584 17731699 19822336 22532421 29733504 30043228 35463398 45064842 53195097 59467008 60086456 70926796 90129684 106390194 120172912 141853592 180259368 212780388 240345824 283707184 360518736 425560776 480691648 567414368 721037472 851121552 961383296 1134828736 1442074944 1702243104 1719974803 1922766592 2269657472 2884149888 3404486208 3439949606 4539314944 5159924409 5768299776 6808972416 6879899212 10319848818 13617944832 13759798424 20639697636 27519596848 41279395272 55039193696 82558790544 110078387392 165117581088 220156774784 330235162176 440313549568 660470324352 1320940648704