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23414420240 = 2451491964297
BaseRepresentation
bin10101110011100110…
…111011001100010000
32020102210100210021122
4111303212323030100
5340423042421430
614431220141412
71456142200601
oct256346731420
966383323248
1023414420240
119a25914532
124655537868
132291bac243
1411c1967da8
159208c0ee5
hex5739bb310

23414420240 has 40 divisors (see below), whose sum is σ = 54803914200. Its totient is φ = 9302905856.

The previous prime is 23414420219. The next prime is 23414420251. The reversal of 23414420240 is 4202441432.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2575765504 + 20838654736 = 50752^2 + 144356^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 970229 + ... + 994068.

It is an arithmetic number, because the mean of its divisors is an integer number (1370097855).

Almost surely, 223414420240 is an apocalyptic number.

23414420240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23414420240 is an abundant number, since it is smaller than the sum of its proper divisors (31389493960).

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

23414420240 is a wasteful number, since it uses less digits than its factorization.

23414420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1964459 (or 1964453 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 26.

Adding to 23414420240 its reverse (4202441432), we get a palindrome (27616861672).

The spelling of 23414420240 in words is "twenty-three billion, four hundred fourteen million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 149 298 596 745 1192 1490 2384 2980 5960 11920 1964297 3928594 7857188 9821485 15714376 19642970 31428752 39285940 78571880 157143760 292680253 585360506 1170721012 1463401265 2341442024 2926802530 4682884048 5853605060 11707210120 23414420240