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21412402340 = 22577313915073
BaseRepresentation
bin10011111100010001…
…110101010010100100
32001021021012202000112
4103330101311102210
5322323033333330
613500422032152
71355422262660
oct237421652244
961237182015
1021412402340
11909881988a
124196b78658
1320331a9574
141071b058a0
15854c60795
hex4fc4754a4

21412402340 has 96 divisors (see below), whose sum is σ = 52471991040. Its totient is φ = 7188258816.

The previous prime is 21412402331. The next prime is 21412402357. The reversal of 21412402340 is 4320421412.

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 31 ways as a sum of consecutive naturals, for example, 1413044 + ... + 1428116.

It is an arithmetic number, because the mean of its divisors is an integer number (546583240).

Almost surely, 221412402340 is an apocalyptic number.

21412402340 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 21412402340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26235995520).

21412402340 is an abundant number, since it is smaller than the sum of its proper divisors (31059588700).

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

21412402340 is a wasteful number, since it uses less digits than its factorization.

21412402340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15301 (or 15299 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 21412402340 its reverse (4320421412), we get a palindrome (25732823752).

The spelling of 21412402340 in words is "twenty-one billion, four hundred twelve million, four hundred two thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 73 139 140 146 278 292 365 511 556 695 730 973 1022 1390 1460 1946 2044 2555 2780 3892 4865 5110 9730 10147 10220 15073 19460 20294 30146 40588 50735 60292 71029 75365 101470 105511 142058 150730 202940 211022 284116 301460 355145 422044 527555 710290 1055110 1100329 1420580 2095147 2110220 2200658 4190294 4401316 5501645 7702303 8380588 10475735 11003290 14666029 15404606 20951470 22006580 29332058 30809212 38511515 41902940 58664116 73330145 77023030 146660290 152945731 154046060 293320580 305891462 611782924 764728655 1070620117 1529457310 2141240234 3058914620 4282480468 5353100585 10706201170 21412402340