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1440842601408 = 26372346611109
BaseRepresentation
bin10100111101111000111…
…010010101001111000000
312002202001210112220210220
4110331320322111033000
5142101321201221113
63021525225223040
7206045265015510
oct24757072251700
95082053486726
101440842601408
115060700a4231
121b32b3331a80
13a5b42406c42
144da46a71840
152772dad6523
hex14f78e953c0

1440842601408 has 112 divisors (see below), whose sum is σ = 4546261224960. Its totient is φ = 393770640384.

The previous prime is 1440842601371. The next prime is 1440842601427. The reversal of 1440842601408 is 8041062480441.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 1440842601408.

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, 23274643 + ... + 23336466.

It is an arithmetic number, because the mean of its divisors is an integer number (40591618080).

Almost surely, 21440842601408 is an apocalyptic number.

It is an amenable number.

1440842601408 is an abundant number, since it is smaller than the sum of its proper divisors (3105418623552).

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

1440842601408 is a wasteful number, since it uses less digits than its factorization.

1440842601408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46611154 (or 46611144 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 42.

The spelling of 1440842601408 in words is "one trillion, four hundred forty billion, eight hundred forty-two million, six hundred one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 448 483 552 644 672 736 966 1104 1288 1344 1472 1932 2208 2576 3864 4416 5152 7728 10304 15456 30912 46611109 93222218 139833327 186444436 279666654 326277763 372888872 559333308 652555526 745777744 978833289 1072055507 1118666616 1305111052 1491555488 1957666578 2144111014 2237333232 2610222104 2983110976 3216166521 3915333156 4288222028 4474666464 5220444208 6432333042 7504388549 7830666312 8576444056 8949332928 10440888416 12864666084 15008777098 15661332624 17152888112 20881776832 22513165647 25729332168 30017554196 31322665248 34305776224 45026331294 51458664336 60035108392 62645330496 68611552448 90052662588 102917328672 120070216784 180105325176 205834657344 240140433568 360210650352 480280867136 720421300704 1440842601408