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1142056378864 = 241722383129379
BaseRepresentation
bin10000100111100111110…
…111010110000111110000
311001011211212120011201101
4100213213313112013300
5122202412413110424
62232353051414144
7145340136023002
oct20474767260760
94034755504641
101142056378864
114003860639a5
12165408454354
1383906bb485b
143d3c0c08372
151ea92c85344
hex109e7dd61f0

1142056378864 has 120 divisors (see below), whose sum is σ = 2482319871360. Its totient is φ = 507873856512.

The previous prime is 1142056378787. The next prime is 1142056378889. The reversal of 1142056378864 is 4688736502411.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8762527 + ... + 8891905.

It is an arithmetic number, because the mean of its divisors is an integer number (20685998928).

Almost surely, 21142056378864 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 1142056378864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241159935680).

1142056378864 is an abundant number, since it is smaller than the sum of its proper divisors (1340263492496).

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

1142056378864 is a wasteful number, since it uses less digits than its factorization.

1142056378864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129527 (or 129504 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 55.

The spelling of 1142056378864 in words is "one trillion, one hundred forty-two billion, fifty-six million, three hundred seventy-eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 17 23 34 46 68 83 92 136 166 184 272 289 332 368 391 578 664 782 1156 1328 1411 1564 1909 2312 2822 3128 3818 4624 5644 6256 6647 7636 11288 13294 15272 22576 23987 26588 30544 32453 47974 53176 64906 95948 106352 129379 129812 191896 258758 259624 383792 517516 519248 551701 1035032 1103402 2070064 2199443 2206804 2975717 4398886 4413608 5951434 8797772 8827216 10738457 11902868 17595544 21476914 23805736 35191088 37390531 42953828 47611472 50587189 74781062 85907656 101174378 149562124 171815312 182553769 202348756 246984511 299124248 365107538 404697512 493969022 598248496 730215076 809395024 859982213 987938044 1460430152 1719964426 1975876088 2920860304 3103414073 3439928852 3951752176 4198736687 6206828146 6879857704 8397473374 12413656292 13759715408 16794946748 24827312584 33589893496 49654625168 67179786992 71378523679 142757047358 285514094716 571028189432 1142056378864