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1014241014 = 23419433761
BaseRepresentation
bin111100011101000…
…001011011110110
32121200110210010000
4330131001123312
54034121203024
6244350412130
734063622613
oct7435013366
92550423100
101014241014
11480570316
12243801046
13132185217
14989b750a
155e095cc9
hex3c7416f6

1014241014 has 80 divisors (see below), whose sum is σ = 2400940080. Its totient is φ = 319127040.

The previous prime is 1014241013. The next prime is 1014241031. The reversal of 1014241014 is 4101424101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014241013) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1332394 + ... + 1333154.

It is an arithmetic number, because the mean of its divisors is an integer number (30011751).

Almost surely, 21014241014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1014241014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200470040).

1014241014 is an abundant number, since it is smaller than the sum of its proper divisors (1386699066).

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

1014241014 is a wasteful number, since it uses less digits than its factorization.

1014241014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1014241014 is about 31847.1507987763. The cubic root of 1014241014 is about 1004.7246472203.

Adding to 1014241014 its reverse (4101424101), we get a palindrome (5115665115).

The spelling of 1014241014 in words is "one billion, fourteen million, two hundred forty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 81 114 162 171 342 433 513 761 866 1026 1299 1522 1539 2283 2598 3078 3897 4566 6849 7794 8227 11691 13698 14459 16454 20547 23382 24681 28918 35073 41094 43377 49362 61641 70146 74043 86754 123282 130131 148086 222129 260262 329513 390393 444258 659026 666387 780786 988539 1171179 1332774 1977078 2342358 2965617 5931234 6260747 8896851 12521494 17793702 18782241 26690553 37564482 53381106 56346723 112693446 169040169 338080338 507120507 1014241014