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23400242524440 = 23325471382993057
BaseRepresentation
bin1010101001000010010110…
…01001001011000100011000
310001212001010010122200002100
411110201023021023010120
511031342144041240230
6121433531212003400
74633416552425235
oct524411311130430
9101761103580070
1023400242524440
117501a94953331
12275b159a60560
131009830777b52
145ac81360878c
152a8a6242c660
hex15484b24b118

23400242524440 has 96 divisors (see below), whose sum is σ = 77668890137280. Its totient is φ = 6107297335296.

The previous prime is 23400242524433. The next prime is 23400242524489. The reversal of 23400242524440 is 4442524200432.

It is a happy number.

23400242524440 is a `hidden beast` number, since 2 + 3 + 400 + 2 + 4 + 2 + 5 + 244 + 4 + 0 = 666.

It is a super-2 number, since 2×234002425244402 (a number of 28 digits) contains 22 as substring.

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 = 23400242524395 and 23400242524404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 691479609 + ... + 691513448.

It is an arithmetic number, because the mean of its divisors is an integer number (809050938930).

Almost surely, 223400242524440 is an apocalyptic number.

23400242524440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23400242524440 is an abundant number, since it is smaller than the sum of its proper divisors (54268647612840).

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

23400242524440 is a wasteful number, since it uses less digits than its factorization.

23400242524440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382993121 (or 1382993114 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 36.

Adding to 23400242524440 its reverse (4442524200432), we get a palindrome (27842766724872).

The spelling of 23400242524440 in words is "twenty-three trillion, four hundred billion, two hundred forty-two million, five hundred twenty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 16920 1382993057 2765986114 4148979171 5531972228 6914965285 8297958342 11063944456 12446937513 13829930570 16595916684 20744895855 24893875026 27659861140 33191833368 41489791710 49787750052 55319722280 62234687565 65000673679 82979583420 99575500104 124469375130 130001347358 165959166840 195002021037 248938750260 260002694716 325003368395 390004042074 497877500520 520005389432 585006063111 650006736790 780008084148 975010105185 1170012126222 1300013473580 1560016168296 1950020210370 2340024252444 2600026947160 2925030315555 3900040420740 4680048504888 5850060631110 7800080841480 11700121262220 23400242524440