Search a number
-
+
2142252511630 = 2571131531693333
BaseRepresentation
bin11111001011001000001…
…100110011000110001110
321120210112021001011202221
4133023020030303012032
5240044313120333010
64320045350005554
7310526004621460
oct37131014630616
97523467034687
102142252511630
11756584770290
122a72240468ba
131270239b238a
1475985308130
153aad183edda
hex1f2c833318e

2142252511630 has 128 divisors (see below), whose sum is σ = 5056268230656. Its totient is φ = 633983500800.

The previous prime is 2142252511621. The next prime is 2142252511643. The reversal of 2142252511630 is 361152522412.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 418444 + ... + 2111776.

It is an arithmetic number, because the mean of its divisors is an integer number (39502095552).

Almost surely, 22142252511630 is an apocalyptic number.

2142252511630 is an abundant number, since it is smaller than the sum of its proper divisors (2914015719026).

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

2142252511630 is a wasteful number, since it uses less digits than its factorization.

2142252511630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693442.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 2142252511630 in words is "two trillion, one hundred forty-two billion, two hundred fifty-two million, five hundred eleven thousand, six hundred thirty".

Divisors: 1 2 5 7 10 11 14 22 31 35 53 55 62 70 77 106 110 154 155 217 265 310 341 371 385 434 530 583 682 742 770 1085 1166 1643 1705 1855 2170 2387 2915 3286 3410 3710 4081 4774 5830 8162 8215 11501 11935 16430 18073 20405 23002 23870 36146 40810 57505 90365 115010 126511 180730 253022 632555 1265110 1693333 3386666 8466665 11853331 16933330 18626663 23706662 37253326 52493323 59266655 89746649 93133315 104986646 118533310 130386641 179493298 186266630 260773282 262466615 367453261 448733245 524933230 577426553 628226543 651933205 734906522 897466490 987213139 1154853106 1256453086 1303866410 1837266305 1974426278 2782146119 2887132765 3141132715 3674532610 4041985871 4936065695 5564292238 5774265530 6282265430 6910491973 8083971742 9872131390 13820983946 13910730595 19475022833 20209929355 27821461190 30603607309 34552459865 38950045666 40419858710 61207214618 69104919730 97375114165 153018036545 194750228330 214225251163 306036073090 428450502326 1071126255815 2142252511630