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426502442011140 = 2232511219582297613
BaseRepresentation
bin110000011111001101101011…
…0100011010100101000000100
32001221010020100111112220110100
41200332123112203110220010
5421400304000123324030
64111032303400124100
7155556533052054105
oct14076332643245004
92057106314486410
10426502442011140
1111399574068a700
123ba03044a66630
13153ca013c17041
147746b84d523ac
153449492154360
hex183e6d68d4a04

426502442011140 has 108 divisors (see below), whose sum is σ = 1422027288133452. Its totient is φ = 103394531391360.

The previous prime is 426502442011109. The next prime is 426502442011153. The reversal of 426502442011140 is 41110244205624.

426502442011140 is a `hidden beast` number, since 4 + 2 + 6 + 502 + 4 + 4 + 2 + 0 + 1 + 1 + 140 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 302196711045636 + 124305730965504 = 17383806^2 + 11149248^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 426502442011095 and 426502442011104.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9791127027 + ... + 9791170586.

It is an arithmetic number, because the mean of its divisors is an integer number (13166919334569).

Almost surely, 2426502442011140 is an apocalyptic number.

It is an amenable number.

426502442011140 is an abundant number, since it is smaller than the sum of its proper divisors (995524846122312).

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

426502442011140 is a wasteful number, since it uses less digits than its factorization.

426502442011140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19582297650 (or 19582297634 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

Adding to 426502442011140 its reverse (41110244205624), we get a palindrome (467612686216764).

The spelling of 426502442011140 in words is "four hundred twenty-six trillion, five hundred two billion, four hundred forty-two million, eleven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5445 7260 10890 21780 19582297613 39164595226 58746892839 78329190452 97911488065 117493785678 176240678517 195822976130 215405273743 234987571356 293734464195 352481357034 391645952260 430810547486 587468928390 646215821229 704962714068 861621094972 881203392585 1077026368715 1174937856780 1292431642458 1762406785170 1938647463687 2154052737430 2369458011173 2584863284916 3231079106145 3524813570340 3877294927374 4308105474860 4738916022346 6462158212290 7108374033519 7754589854748 9477832044692 9693237318435 11847290055865 12924316424580 14216748067038 19386474636870 21325122100557 23694580111730 28433496134076 35541870167595 38772949273740 42650244201114 47389160223460 71083740335190 85300488402228 106625610502785 142167480670380 213251221005570 426502442011140