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21240142014 = 23721328119777
BaseRepresentation
bin10011110010000000…
…101101100010111110
32000211021002000021110
4103302000231202332
5321444434021024
613431345542450
71351231141200
oct236200554276
960737060243
1021240142014
11900a563083
124149344a26
1320065b5490
141056ca4770
15844a85629
hex4f202d8be

21240142014 has 96 divisors (see below), whose sum is σ = 53409144096. Its totient is φ = 5581578240.

The previous prime is 21240141991. The next prime is 21240142037. The reversal of 21240142014 is 41024104212.

It is an interprime number because it is at equal distance from previous prime (21240141991) and next prime (21240142037).

It is a super-2 number, since 2×212401420142 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 1064094 + ... + 1083870.

It is an arithmetic number, because the mean of its divisors is an integer number (556345251).

Almost surely, 221240142014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21240142014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26704572048).

21240142014 is an abundant number, since it is smaller than the sum of its proper divisors (32169002082).

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

21240142014 is a wasteful number, since it uses less digits than its factorization.

21240142014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20090 (or 20083 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 21240142014 its reverse (41024104212), we get a palindrome (62264246226).

The spelling of 21240142014 in words is "twenty-one billion, two hundred forty million, one hundred forty-two thousand, fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 281 294 546 562 637 843 1274 1686 1911 1967 3653 3822 3934 5901 7306 10959 11802 13769 19777 21918 25571 27538 39554 41307 51142 59331 76713 82614 118662 138439 153426 178997 257101 276878 357994 415317 514202 536991 771303 830634 969073 1073982 1542606 1799707 1938146 2907219 3599414 5399121 5557337 5814438 10798242 11114674 12597949 16672011 25195898 33344022 37793847 38901359 72245381 75587694 77802718 116704077 144490762 216736143 233408154 272309513 433472286 505717667 544619026 816928539 1011435334 1517153001 1633857078 3034306002 3540023669 7080047338 10620071007 21240142014