Search a number
-
+
4112122450656 = 2531111293449119
BaseRepresentation
bin111011110101101101100…
…110010001001011100000
3112120010002212212100020210
4323311231212101023200
51014333111321410111
612425025531134120
7603043141054263
oct73655546211340
915503085770223
104112122450656
111345a39a14330
12564b595a4340
1323aa04c441ac
14103056374cda
1571e745a20a6
hex3bd6d9912e0

4112122450656 has 96 divisors (see below), whose sum is σ = 11786056934400. Its totient is φ = 1244993633280.

The previous prime is 4112122450637. The next prime is 4112122450663. The reversal of 4112122450656 is 6560542212114.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532336 + ... + 2916783.

It is an arithmetic number, because the mean of its divisors is an integer number (122771426400).

Almost surely, 24112122450656 is an apocalyptic number.

It is an amenable number.

4112122450656 is an abundant number, since it is smaller than the sum of its proper divisors (7673934483744).

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

4112122450656 is a wasteful number, since it uses less digits than its factorization.

4112122450656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3450272 (or 3450264 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The spelling of 4112122450656 in words is "four trillion, one hundred twelve billion, one hundred twenty-two million, four hundred fifty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1129 2258 3387 4516 6774 9032 12419 13548 18064 24838 27096 36128 37257 49676 54192 74514 99352 108384 149028 198704 298056 397408 596112 1192224 3449119 6898238 10347357 13796476 20694714 27592952 37940309 41389428 55185904 75880618 82778856 110371808 113820927 151761236 165557712 227641854 303522472 331115424 455283708 607044944 910567416 1214089888 1821134832 3642269664 3894055351 7788110702 11682166053 15576221404 23364332106 31152442808 42834608861 46728664212 62304885616 85669217722 93457328424 124609771232 128503826583 171338435444 186914656848 257007653166 342676870888 373829313696 514015306332 685353741776 1028030612664 1370707483552 2056061225328 4112122450656