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1421507934 = 23373116977
BaseRepresentation
bin101010010111010…
…0111110101011110
310200001211002022000
41110232213311132
510402401223214
6353015503130
750140422000
oct12456476536
93601732260
101421507934
1166a449a50
12338087aa6
1319866c372
14d6b10370
1584be2809
hex54ba7d5e

1421507934 has 128 divisors (see below), whose sum is σ = 4019328000. Its totient is φ = 369169920.

The previous prime is 1421507917. The next prime is 1421507951. The reversal of 1421507934 is 4397051241.

1421507934 is a `hidden beast` number, since 142 + 1 + 507 + 9 + 3 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1421507917) and next prime (1421507951).

It is a super-3 number, since 3×14215079343 (a number of 28 digits) contains 333 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 200254 + ... + 207230.

It is an arithmetic number, because the mean of its divisors is an integer number (31401000).

Almost surely, 21421507934 is an apocalyptic number.

1421507934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1421507934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2009664000).

1421507934 is an abundant number, since it is smaller than the sum of its proper divisors (2597820066).

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

1421507934 is a wasteful number, since it uses less digits than its factorization.

1421507934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7000 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1421507934 is about 37702.8902605623. The cubic root of 1421507934 is about 1124.3885886612.

The spelling of 1421507934 in words is "one billion, four hundred twenty-one million, five hundred seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 98 99 126 147 154 189 198 231 294 297 343 378 441 462 539 594 686 693 882 1029 1078 1323 1386 1617 2058 2079 2646 3087 3234 3773 4158 4851 6174 6977 7546 9261 9702 11319 13954 14553 18522 20931 22638 29106 33957 41862 48839 62793 67914 76747 97678 101871 125586 146517 153494 188379 203742 230241 293034 341873 376758 439551 460482 537229 683746 690723 879102 1025619 1074458 1318653 1381446 1611687 2051238 2072169 2393111 2637306 3076857 3223374 3760603 4144338 4786222 4835061 6153714 7179333 7521206 9230571 9670122 11281809 14358666 14505183 18461142 21537999 22563618 26324221 29010366 33845427 43075998 52648442 64613997 67690854 78972663 101536281 129227994 157945326 203072562 236917989 473835978 710753967 1421507934