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1444036138056 = 2333157229185947
BaseRepresentation
bin10101000000110111010…
…000101101010001001000
312010001022100202101112000
4111000313100231101020
5142124341222404211
63023214145551000
7206220363436131
oct25006720552110
95101270671460
101444036138056
11507459832616
121b3a44945460
13a6230c218b5
144dc6ac56c88
1527869159656
hex1503742d448

1444036138056 has 128 divisors (see below), whose sum is σ = 4054410192000. Its totient is φ = 476188367616.

The previous prime is 1444036138043. The next prime is 1444036138099. The reversal of 1444036138056 is 6508316304441.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7672875 + ... + 7858821.

It is an arithmetic number, because the mean of its divisors is an integer number (31675079625).

Almost surely, 21444036138056 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 1444036138056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027205096000).

1444036138056 is an abundant number, since it is smaller than the sum of its proper divisors (2610374053944).

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

1444036138056 is a wasteful number, since it uses less digits than its factorization.

1444036138056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186348 (or 186338 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 1444036138056 in words is "one trillion, four hundred forty-four billion, thirty-six million, one hundred thirty-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 157 216 229 314 458 471 628 687 916 942 1256 1374 1413 1832 1884 2061 2748 2826 3768 4122 4239 5496 5652 6183 8244 8478 11304 12366 16488 16956 24732 33912 35953 49464 71906 107859 143812 185947 215718 287624 323577 371894 431436 557841 647154 743788 862872 970731 1115682 1294308 1487576 1673523 1941462 2231364 2588616 3347046 3882924 4462728 5020569 6694092 7765848 10041138 13388184 20082276 29193679 40164552 42581863 58387358 85163726 87581037 116774716 127745589 170327452 175162074 233549432 255491178 262743111 340654904 350324148 383236767 510982356 525486222 700648296 766473534 788229333 1021964712 1050972444 1149710301 1532947068 1576458666 2101944888 2299420602 3065894136 3152917332 4598841204 6305834664 6685352491 9197682408 13370704982 20056057473 26741409964 40112114946 53482819928 60168172419 80224229892 120336344838 160448459784 180504517257 240672689676 361009034514 481345379352 722018069028 1444036138056