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123040141400 = 235211172132497
BaseRepresentation
bin111001010010111000…
…0111001000001011000
3102202120212201210111002
41302211300321001120
54003441234011100
6132305053124132
711614022642261
oct1624560710130
9382525653432
10123040141400
11481a9a52380
121ba19a89648
13b7aacb48c7
145d52ddb968
153301d282d5
hex1ca5c39058

123040141400 has 96 divisors (see below), whose sum is σ = 312265482480. Its totient is φ = 44714496000.

The previous prime is 123040141381. The next prime is 123040141421. The reversal of 123040141400 is 4141040321.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 3769952 + ... + 3802448.

Almost surely, 2123040141400 is an apocalyptic number.

123040141400 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 123040141400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156132741240).

123040141400 is an abundant number, since it is smaller than the sum of its proper divisors (189225341080).

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

123040141400 is a wasteful number, since it uses less digits than its factorization.

123040141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34245 (or 34236 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123040141400 its reverse (4141040321), we get a palindrome (127181181721).

The spelling of 123040141400 in words is "one hundred twenty-three billion, forty million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 1721 2200 3442 6884 8605 13768 17210 18931 32497 34420 37862 43025 64994 68840 75724 86050 94655 129988 151448 162485 172100 189310 259976 324970 344200 357467 378620 473275 649940 714934 757240 812425 946550 1299880 1429868 1624850 1787335 1893100 2859736 3249700 3574670 3786200 6499400 7149340 8936675 14298680 17873350 35746700 55927337 71493400 111854674 223709348 279636685 447418696 559273370 615200707 1118546740 1230401414 1398183425 2237093480 2460802828 2796366850 3076003535 4921605656 5592733700 6152007070 11185467400 12304014140 15380017675 24608028280 30760035350 61520070700 123040141400