Search a number
-
+
71241510285 = 3351131249921
BaseRepresentation
bin100001001011001010…
…0110010110110001101
320210212221110200211000
41002112110302312031
52131400311312120
652421120450513
75101300563111
oct1022624626615
9223787420730
1071241510285
1128238a80130
1211982779a39
136944713c1a
14363b86d741
151cbe5ea990
hex1096532d8d

71241510285 has 96 divisors (see below), whose sum is σ = 142768932480. Its totient is φ = 33426432000.

The previous prime is 71241510239. The next prime is 71241510293. The reversal of 71241510285 is 58201514217.

It is a happy number.

It is not a de Polignac number, because 71241510285 - 214 = 71241493901 is a prime.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1402125 + ... + 1452045.

It is an arithmetic number, because the mean of its divisors is an integer number (1487176380).

Almost surely, 271241510285 is an apocalyptic number.

It is an amenable number.

71241510285 is an abundant number, since it is smaller than the sum of its proper divisors (71527422195).

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

71241510285 is a wasteful number, since it uses less digits than its factorization.

71241510285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50008 (or 49971 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 71241510285 in words is "seventy-one billion, two hundred forty-one million, five hundred ten thousand, two hundred eighty-five".

Divisors: 1 3 5 9 11 15 27 31 33 45 55 93 99 135 155 165 279 297 341 465 495 837 961 1023 1395 1485 1705 2883 3069 4185 4805 5115 8649 9207 10571 14415 15345 25947 31713 43245 46035 49921 52855 95139 129735 149763 158565 249605 285417 449289 475695 549131 748815 1347867 1427085 1547551 1647393 2246445 2745655 4642653 4942179 6739335 7737755 8236965 13927959 14826537 17023061 23213265 24710895 41783877 47974081 51069183 69639795 74132685 85115305 143922243 153207549 208919385 239870405 255345915 431766729 459622647 527714891 719611215 766037745 1295300187 1583144673 2158833645 2298113235 2638574455 4749434019 6476500935 7915723365 14248302057 23747170095 71241510285