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14132970774 = 2331321791097
BaseRepresentation
bin11010010100110010…
…00000010100010110
31100110221200022012000
431022121000110112
5212421020031044
610254222340130
71010141161266
oct151231002426
940427608160
1014132970774
115aa276a13a
1228a512a646
131443027900
1498100b7a6
1557ab4bd69
hex34a640516

14132970774 has 96 divisors (see below), whose sum is σ = 36009217440. Its totient is φ = 4092761088.

The previous prime is 14132970769. The next prime is 14132970851. The reversal of 14132970774 is 47707923141.

It is a super-3 number, since 3×141329707743 (a number of 31 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109594 + ... + 200690.

It is an arithmetic number, because the mean of its divisors is an integer number (375096015).

Almost surely, 214132970774 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14132970774, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18004608720).

14132970774 is an abundant number, since it is smaller than the sum of its proper divisors (21876246666).

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

14132970774 is a wasteful number, since it uses less digits than its factorization.

14132970774 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91151 (or 91132 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

It can be divided in two parts, 14132 and 970774, that added together give a triangular number (984906 = T1403).

The spelling of 14132970774 in words is "fourteen billion, one hundred thirty-two million, nine hundred seventy thousand, seven hundred seventy-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 102 117 153 169 221 234 306 338 351 442 459 507 663 702 918 1014 1326 1521 1989 2873 3042 3978 4563 5746 5967 8619 9126 11934 17238 25857 51714 77571 91097 155142 182194 273291 546582 819873 1184261 1548649 1639746 2368522 2459619 3097298 3552783 4645947 4919238 7105566 9291894 10658349 13937841 15395393 20132437 21316698 27875682 30790786 31975047 40264874 41813523 46186179 60397311 63950094 83627046 92372358 120794622 138558537 181191933 261721681 277117074 362383866 415675611 523443362 543575799 785165043 831351222 1087151598 1570330086 2355495129 4710990258 7066485387 14132970774