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502144040133 = 3223314111091721
BaseRepresentation
bin1110100111010100001…
…11011111110011000101
31210000010021121020101100
413103222013133303011
531211342333241013
61022403133250313
751164411626251
oct7235207376305
91700107536340
10502144040133
11183a5a24659a
128139b033999
13384763b8388
141a437c95261
15d0dde99473
hex74ea1dfcc5

502144040133 has 96 divisors (see below), whose sum is σ = 801511925760. Its totient is φ = 301872384000.

The previous prime is 502144040131. The next prime is 502144040137. The reversal of 502144040133 is 331040441205.

It is a happy number.

502144040133 is a `hidden beast` number, since 5 + 0 + 214 + 40 + 401 + 3 + 3 = 666.

It is not a de Polignac number, because 502144040133 - 21 = 502144040131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 502144040097 and 502144040106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502144040131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 291773713 + ... + 291775433.

It is an arithmetic number, because the mean of its divisors is an integer number (8349082560).

Almost surely, 2502144040133 is an apocalyptic number.

It is an amenable number.

502144040133 is a deficient number, since it is larger than the sum of its proper divisors (299367885627).

502144040133 is a wasteful number, since it uses less digits than its factorization.

502144040133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2931 (or 2928 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 502144040133 its reverse (331040441205), we get a palindrome (833184481338).

The spelling of 502144040133 in words is "five hundred two billion, one hundred forty-four million, forty thousand, one hundred thirty-three".

Divisors: 1 3 9 23 31 41 69 93 123 207 279 369 713 943 1109 1271 1721 2139 2829 3327 3813 5163 6417 8487 9981 11439 15489 25507 29233 34379 39583 45469 53351 70561 76521 87699 103137 118749 136407 160053 211683 229563 263097 309411 356247 409221 480159 635049 790717 1045787 1227073 1409539 1622903 1908589 2187391 2372151 3137361 3681219 4228617 4868709 5725767 6562173 7116453 9412083 11043657 12685851 14606127 17177301 19686519 32419397 43897547 50309993 59166259 78252149 97258191 131692641 150929979 177498777 234756447 291774573 395077923 452789937 532496331 704269341 1360823957 1799799427 2425816619 4082471871 5399398281 7277449857 12247415613 16198194843 21832349571 55793782237 167381346711 502144040133