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14942155914 = 2337438231117
BaseRepresentation
bin11011110101001111…
…10011010010001010
31102120100022011112000
431322213303102022
5221100142442124
610510410131430
71036165141530
oct157247632212
942510264460
1014942155914
116378503994
122a90120b76
13154187549a
14a1a688150
155c6bda6c9
hex37a9f348a

14942155914 has 128 divisors (see below), whose sum is σ = 38912839680. Its totient is φ = 4161108672.

The previous prime is 14942155913. The next prime is 14942155931. The reversal of 14942155914 is 41955124941.

14942155914 is a `hidden beast` number, since 1 + 4 + 9 + 42 + 15 + 591 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 14942155914.

It is not an unprimeable number, because it can be changed into a prime (14942155913) by changing a digit.

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, 13376484 + ... + 13377600.

It is an arithmetic number, because the mean of its divisors is an integer number (304006560).

Almost surely, 214942155914 is an apocalyptic number.

14942155914 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 14942155914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456419840).

14942155914 is an abundant number, since it is smaller than the sum of its proper divisors (23970683766).

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

14942155914 is a wasteful number, since it uses less digits than its factorization.

14942155914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1995 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 14942155914 in words is "fourteen billion, nine hundred forty-two million, one hundred fifty-five thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 54 63 86 126 129 189 258 301 378 387 602 774 823 903 1117 1161 1646 1806 2234 2322 2469 2709 3351 4938 5418 5761 6702 7407 7819 8127 10053 11522 14814 15638 16254 17283 20106 22221 23457 30159 34566 35389 44442 46914 48031 51849 60318 70371 70778 96062 103698 106167 140742 144093 155547 211113 212334 247723 288186 311094 318501 336217 422226 432279 495446 637002 672434 743169 864558 919291 955503 1008651 1296837 1486338 1838582 1911006 2017302 2229507 2593674 2757873 3025953 4459014 5515746 6051906 6435037 6688521 8273619 9077859 12870074 13377042 16547238 18155718 19305111 24820857 38610222 39529513 49641714 57915333 79059026 115830666 118588539 173745999 237177078 276706591 347491998 355765617 553413182 711531234 830119773 1067296851 1660239546 2134593702 2490359319 4980718638 7471077957 14942155914