Search a number
-
+
10240441426416 = 243419603508439
BaseRepresentation
bin1001010100000100100111…
…0111111010000111110000
31100020222100222012021000210
42111001021313322013300
52320234411001121131
633440221023144120
72104563453632505
oct225011167720760
940228328167023
1010240441426416
113298a46243483
1211947bb145040
13593891b143c6
142758d62874ac
1512b59d9e7146
hex95049dfa1f0

10240441426416 has 40 divisors (see below), whose sum is σ = 26454588762240. Its totient is φ = 3413465626816.

The previous prime is 10240441426399. The next prime is 10240441426451. The reversal of 10240441426416 is 61462414404201.

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, 19886725 + ... + 20395163.

It is an arithmetic number, because the mean of its divisors is an integer number (661364719056).

Almost surely, 210240441426416 is an apocalyptic number.

10240441426416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10240441426416 is an abundant number, since it is smaller than the sum of its proper divisors (16214147335824).

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

10240441426416 is a wasteful number, since it uses less digits than its factorization.

10240441426416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928053 (or 928047 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 10240441426416 in words is "ten trillion, two hundred forty billion, four hundred forty-one million, four hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 419603 508439 839206 1016878 1258809 1525317 1678412 2033756 2517618 3050634 3356824 4067512 5035236 6101268 6713648 8135024 10070472 12202536 20140944 24405072 213342529717 426685059434 640027589151 853370118868 1280055178302 1706740237736 2560110356604 3413480475472 5120220713208 10240441426416