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21342431240 = 23513307133691
BaseRepresentation
bin10011111000000110…
…111010100000001000
32001002101112211201022
4103320012322200020
5322202130244430
613445442212012
71353612446414
oct237006724010
961071484638
1021342431240
119062278529
124177654008
13202184ac50
1410666cdd44
1584da3d4e5
hex4f81ba808

21342431240 has 64 divisors (see below), whose sum is σ = 51883191360. Its totient is φ = 7854554880.

The previous prime is 21342431237. The next prime is 21342431251. The reversal of 21342431240 is 4213424312.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92795 + ... + 226485.

It is an arithmetic number, because the mean of its divisors is an integer number (810674865).

Almost surely, 221342431240 is an apocalyptic number.

21342431240 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 21342431240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25941595680).

21342431240 is an abundant number, since it is smaller than the sum of its proper divisors (30540760120).

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

21342431240 is a wasteful number, since it uses less digits than its factorization.

21342431240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134022 (or 134018 counting only the distinct ones).

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

Adding to 21342431240 its reverse (4213424312), we get a palindrome (25555855552).

The spelling of 21342431240 in words is "twenty-one billion, three hundred forty-two million, four hundred thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 307 520 614 1228 1535 2456 3070 3991 6140 7982 12280 15964 19955 31928 39910 79820 133691 159640 267382 534764 668455 1069528 1336910 1737983 2673820 3475966 5347640 6951932 8689915 13903864 17379830 34759660 41043137 69519320 82086274 164172548 205215685 328345096 410431370 533560781 820862740 1067121562 1641725480 2134243124 2667803905 4268486248 5335607810 10671215620 21342431240