Search a number
-
+
131330414052224 = 275364732990707
BaseRepresentation
bin11101110111000110111110…
…101011011000001110000000
3122020000001202100202200020122
4131313012332223120032000
5114203204141444132344
61143152205340155412
736443211042441302
oct3567067653301600
9566001670680218
10131330414052224
1138933a08a56a72
1212890869b38b68
13583853576611a
1424605d6b73972
15102b313634aee
hex7771bead8380

131330414052224 has 64 divisors (see below), whose sum is σ = 266612586261840. Its totient is φ = 64416266244096.

The previous prime is 131330414052199. The next prime is 131330414052259. The reversal of 131330414052224 is 422250414033131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42417479 + ... + 45408185.

Almost surely, 2131330414052224 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 131330414052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133306293130920).

131330414052224 is an abundant number, since it is smaller than the sum of its proper divisors (135282172209616).

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

131330414052224 is an equidigital number, since it uses as much as digits as its factorization.

131330414052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997247 (or 2997235 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 35.

Adding to 131330414052224 its reverse (422250414033131), we get a palindrome (553580828085355).

The spelling of 131330414052224 in words is "one hundred thirty-one trillion, three hundred thirty billion, four hundred fourteen million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 424 848 1696 3392 6473 6784 12946 25892 51784 103568 207136 343069 414272 686138 828544 1372276 2744552 2990707 5489104 5981414 10978208 11962828 21956416 23925656 43912832 47851312 95702624 158507471 191405248 317014942 382810496 634029884 1268059768 2536119536 5072239072 10144478144 19358846411 20288956288 38717692822 77435385644 154870771288 309741542576 619483085152 1026018859783 1238966170304 2052037719566 2477932340608 4104075439132 8208150878264 16416301756528 32832603513056 65665207026112 131330414052224