Search a number
-
+
123414433030420 = 22572310940505981
BaseRepresentation
bin11100000011111010101001…
…011100001110000100010100
3121011222022020000220121000121
4130003322221130032010110
5112134010224323433140
61114251450254321324
734665253462112200
oct3403725134160424
9534868200817017
10123414433030420
11363618490466a4
1211a12663ab9244
1353b2c1481179c
14226940cd23b00
15e4045c91164a
hex703ea970e114

123414433030420 has 72 divisors (see below), whose sum is σ = 301580808023880. Its totient is φ = 42299908842240.

The previous prime is 123414433030373. The next prime is 123414433030423. The reversal of 123414433030420 is 24030334414321.

It can be written as a sum of positive squares in 4 ways, for example, as 15555656612356 + 107858776418064 = 3944066^2 + 10385508^2 .

It is a super-2 number, since 2×1234144330304202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123414433030423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17206171 + ... + 23299810.

It is an arithmetic number, because the mean of its divisors is an integer number (4188622333665).

Almost surely, 2123414433030420 is an apocalyptic number.

123414433030420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123414433030420 is an abundant number, since it is smaller than the sum of its proper divisors (178166374993460).

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

123414433030420 is a wasteful number, since it uses less digits than its factorization.

123414433030420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40509113 (or 40509104 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 123414433030420 its reverse (24030334414321), we get a palindrome (147444767444741).

The spelling of 123414433030420 in words is "one hundred twenty-three trillion, four hundred fourteen billion, four hundred thirty-three million, thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 3109 6218 12436 15545 21763 31090 43526 62180 87052 108815 152341 217630 304682 435260 609364 761705 1523410 3046820 40505981 81011962 162023924 202529905 283541867 405059810 567083734 810119620 1134167468 1417709335 1984793069 2835418670 3969586138 5670837340 7939172276 9923965345 19847930690 39695861380 125933094929 251866189858 503732379716 629665474645 881531664503 1259330949290 1763063329006 2518661898580 3526126658012 4407658322515 6170721651521 8815316645030 12341443303042 17630633290060 24682886606084 30853608257605 61707216515210 123414433030420