Search a number
-
+
534055240312 = 231121726728493
BaseRepresentation
bin1111100010110000010…
…11000100001001111000
31220001111020011011112021
413301120023010021320
532222221120142222
61045201441124224
753404246433266
oct7613013041170
91801436134467
10534055240312
11196545295600
1287606029674
133b490705c49
141bbc4081436
15dd5a794ac7
hex7c582c4278

534055240312 has 144 divisors (see below), whose sum is σ = 1186707284280. Its totient is φ = 225054888960.

The previous prime is 534055240283. The next prime is 534055240333. The reversal of 534055240312 is 213042550435.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 35 ways as a sum of consecutive naturals, for example, 18729138 + ... + 18757630.

Almost surely, 2534055240312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534055240312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593353642140).

534055240312 is an abundant number, since it is smaller than the sum of its proper divisors (652652043968).

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

534055240312 is a wasteful number, since it uses less digits than its factorization.

534055240312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28622 (or 28590 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 534055240312 its reverse (213042550435), we get a palindrome (747097790747).

The spelling of 534055240312 in words is "five hundred thirty-four billion, fifty-five million, two hundred forty thousand, three hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 67 68 88 121 134 136 187 242 268 289 374 484 536 578 737 748 968 1139 1156 1474 1496 2057 2278 2312 2948 3179 4114 4556 5896 6358 8107 8228 9112 12529 12716 16214 16456 19363 25058 25432 28493 32428 34969 38726 50116 56986 64856 69938 77452 100232 113972 137819 139876 154904 212993 227944 275638 279752 313423 425986 484381 551276 626846 851972 968762 1102552 1253692 1703944 1909031 1937524 2342923 2507384 3447653 3818062 3875048 4685846 5328191 6895306 7636124 8234477 9371692 10656382 13790612 15272248 16468954 18743384 20999341 21312764 27581224 32453527 32937908 41998682 42625528 58610101 64907054 65875816 83997364 90579247 117220202 129814108 167994728 181158494 230992751 234440404 259628216 356988797 362316988 461985502 468880808 551709959 713977594 724633976 923971004 996371717 1103419918 1427955188 1847942008 1992743434 2206839836 2855910376 3926876767 3985486868 4413679672 6068809549 7853753534 7970973736 12137619098 15707507068 24275238196 31415014136 48550476392 66756905039 133513810078 267027620156 534055240312