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23444030410100 = 2252564141560061
BaseRepresentation
bin1010101010010011111010…
…00110101100110101110100
310002000020010210021201212022
411111021331012230311310
511033101333241110400
6121510012222212312
74636526633341406
oct525117506546564
9102006123251768
1023444030410100
117519614a88993
12276773a424098
1310109bb512771
145b09a8cb2b76
152a9c7673ab85
hex15527d1acd74

23444030410100 has 36 divisors (see below), whose sum is σ = 50882565747468. Its totient is φ = 9375949536000.

The previous prime is 23444030410079. The next prime is 23444030410117. The reversal of 23444030410100 is 101403044432.

It can be written as a sum of positive squares in 6 ways, for example, as 11576468836 + 23432453941264 = 107594^2 + 4840708^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23444030410100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20215931 + ... + 21344130.

Almost surely, 223444030410100 is an apocalyptic number.

23444030410100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23444030410100 is an abundant number, since it is smaller than the sum of its proper divisors (27438535337368).

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

23444030410100 is a wasteful number, since it uses less digits than its factorization.

23444030410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41565716 (or 41565709 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 23444030410100 its reverse (101403044432), we get a palindrome (23545433454532).

The spelling of 23444030410100 in words is "twenty-three trillion, four hundred forty-four billion, thirty million, four hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 5641 11282 22564 28205 56410 112820 141025 282050 564100 41560061 83120122 166240244 207800305 415600610 831201220 1039001525 2078003050 4156006100 234440304101 468880608202 937761216404 1172201520505 2344403041010 4688806082020 5861007602525 11722015205050 23444030410100