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4237967142 = 23629113887
BaseRepresentation
bin1111110010011010…
…0011111100100110
3101221100111001000000
43330212203330212
532134404422032
61540310202130
7210010061223
oct37446437446
911840431000
104237967142
111885249492
129a3353346
13527010186
142c2bba94a
1519c0cde7c
hexfc9a3f26

4237967142 has 112 divisors (see below), whose sum is σ = 9958191840. Its totient is φ = 1350349056.

The previous prime is 4237967117. The next prime is 4237967159. The reversal of 4237967142 is 2417697324.

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 55 ways as a sum of consecutive naturals, for example, 4777423 + ... + 4778309.

Almost surely, 24237967142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4237967142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979095920).

4237967142 is an abundant number, since it is smaller than the sum of its proper divisors (5720224698).

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

4237967142 is a wasteful number, since it uses less digits than its factorization.

4237967142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1034 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 4237967142 is about 65099.6708286609. The cubic root of 4237967142 is about 1618.2757580521.

The spelling of 4237967142 in words is "four billion, two hundred thirty-seven million, nine hundred sixty-seven thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 113 162 174 226 243 261 339 486 522 678 729 783 887 1017 1458 1566 1774 2034 2349 2661 3051 3277 4698 5322 6102 6554 7047 7983 9153 9831 14094 15966 18306 19662 21141 23949 25723 27459 29493 42282 47898 51446 54918 58986 71847 77169 82377 88479 100231 143694 154338 164754 176958 200462 215541 231507 265437 300693 431082 463014 530874 601386 646623 694521 796311 902079 1293246 1389042 1592622 1804158 2083563 2388933 2706237 2906699 4167126 4777866 5412474 5813398 6250689 8118711 8720097 12501378 16237422 17440194 18752067 24356133 26160291 37504134 48712266 52320582 73068399 78480873 146136798 156961746 235442619 470885238 706327857 1412655714 2118983571 4237967142