Search a number
-
+
123026142455340 = 2235137136271098311
BaseRepresentation
bin11011111110010001000001…
…100001001110011000101100
3121010121011222101200122022020
4123332101001201032120230
5112111130014432032330
61113353232443550140
734625226332511225
oct3376210141163054
9533534871618266
10123026142455340
1136222104149583
121196b35a22b350
13538541408a057
1422546d5d4024c
15e352d3edc210
hex6fe44184e62c

123026142455340 has 96 divisors (see below), whose sum is σ = 347013380980224. Its totient is φ = 32565084802560.

The previous prime is 123026142455339. The next prime is 123026142455347. The reversal of 123026142455340 is 43554241620321.

It is a super-2 number, since 2×1230261424553402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123026142455292 and 123026142455301.

It is not an unprimeable number, because it can be changed into a prime (123026142455347) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111464785 + ... + 112563095.

It is an arithmetic number, because the mean of its divisors is an integer number (3614722718544).

Almost surely, 2123026142455340 is an apocalyptic number.

123026142455340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123026142455340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173506690490112).

123026142455340 is an abundant number, since it is smaller than the sum of its proper divisors (223987238524884).

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

123026142455340 is a wasteful number, since it uses less digits than its factorization.

123026142455340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112087 (or 1112085 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

The spelling of 123026142455340 in words is "one hundred twenty-three trillion, twenty-six billion, one hundred forty-two million, four hundred fifty-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 274 411 548 685 822 1370 1644 2055 2740 4110 8220 13627 27254 40881 54508 68135 81762 136270 163524 204405 272540 408810 817620 1098311 1866899 2196622 3294933 3733798 4393244 5491555 5600697 6589866 7467596 9334495 10983110 11201394 13179732 16474665 18668990 21966220 22402788 28003485 32949330 37337980 56006970 65898660 112013940 150468607 300937214 451405821 601874428 752343035 902811642 1504686070 1805623284 2257029105 3009372140 4514058210 9028116420 14966683997 29933367994 44900051991 59866735988 74833419985 89800103982 149666839970 179600207964 224500259955 299333679940 449000519910 898001039820 2050435707589 4100871415178 6151307122767 8201742830356 10252178537945 12302614245534 20504357075890 24605228491068 30756535613835 41008714151780 61513071227670 123026142455340