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23414134040 = 23511241117991
BaseRepresentation
bin10101110011100101…
…110101010100011000
32020102202211020200122
4111303211311110120
5340423004242130
614431210052412
71456136566313
oct256345652430
966382736618
1023414134040
119a25739500
12465541a108
132291b0bbab
1411c18d197a
159208662e5
hex573975518

23414134040 has 96 divisors (see below), whose sum is σ = 59319298080. Its totient is φ = 8306496000.

The previous prime is 23414134039. The next prime is 23414134049. The reversal of 23414134040 is 4043141432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23414134049) 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, 139445 + ... + 257435.

It is an arithmetic number, because the mean of its divisors is an integer number (617909355).

Almost surely, 223414134040 is an apocalyptic number.

23414134040 is a gapful number since it is divisible by the number (20) 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 23414134040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29659649040).

23414134040 is an abundant number, since it is smaller than the sum of its proper divisors (35905164040).

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

23414134040 is a wasteful number, since it uses less digits than its factorization.

23414134040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118065 (or 118050 counting only the distinct ones).

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

Adding to 23414134040 its reverse (4043141432), we get a palindrome (27457275472).

The spelling of 23414134040 in words is "twenty-three billion, four hundred fourteen million, one hundred thirty-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 41 44 55 82 88 110 121 164 205 220 242 328 410 440 451 484 605 820 902 968 1210 1640 1804 2255 2420 3608 4510 4840 4961 9020 9922 18040 19844 24805 39688 49610 99220 117991 198440 235982 471964 589955 943928 1179910 1297901 2359820 2595802 4719640 4837631 5191604 6489505 9675262 10383208 12979010 14276911 19350524 24188155 25958020 28553822 38701048 48376310 51916040 53213941 57107644 71384555 96752620 106427882 114215288 142769110 193505240 212855764 266069705 285538220 425711528 532139410 571076440 585353351 1064278820 1170706702 2128557640 2341413404 2926766755 4682826808 5853533510 11707067020 23414134040