Search a number
-
+
1014441380656 = 241129452343943
BaseRepresentation
bin11101100001100010110…
…10110000101100110000
310120222110011102120111021
432300301122300230300
5113110033443140111
62054010011225224
7133201542314434
oct16606132605460
93528404376437
101014441380656
11361249792a30
12144732448214
137487a1770b2
14371563b69c4
151b5c44d3d71
hexec316b0b30

1014441380656 has 80 divisors (see below), whose sum is σ = 2218637640960. Its totient is φ = 445100821760.

The previous prime is 1014441380653. The next prime is 1014441380737. The reversal of 1014441380656 is 6560831444101.

It is not an unprimeable number, because it can be changed into a prime (1014441380653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23063421 + ... + 23107363.

It is an arithmetic number, because the mean of its divisors is an integer number (27732970512).

Almost surely, 21014441380656 is an apocalyptic number.

1014441380656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014441380656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1109318820480).

1014441380656 is an abundant number, since it is smaller than the sum of its proper divisors (1204196260304).

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

1014441380656 is a wasteful number, since it uses less digits than its factorization.

1014441380656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48514 (or 48508 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 1014441380656 in words is "one trillion, fourteen billion, four hundred forty-one million, three hundred eighty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 2552 4523 5104 9046 18092 36184 43943 49753 72368 87886 99506 131167 175772 199012 262334 351544 398024 483373 524668 703088 796048 966746 1049336 1274347 1442837 1933492 2098672 2548694 2885674 3866984 5097388 5771348 7733968 10194776 11542696 14017817 20389552 23085392 28035634 56071268 112142536 198754189 224285072 397508378 795016756 1590033512 2186296079 3180067024 4372592158 5763871481 8745184316 11527742962 17490368632 23055485924 34980737264 46110971848 63402586291 92221943696 126805172582 253610345164 507220690328 1014441380656