Search a number
-
+
145232150544126 = 232471133511743261
BaseRepresentation
bin100001000001011001111110…
…101111100011111011111110
3201001020001120021120012211100
4201001121332233203323332
5123013440421014403001
61232514421235233530
742406451036103102
oct4101317657437376
9631201507505740
10145232150544126
1142303677873628
1214356b694488a6
136306443892a29
1427c13b8a45902
1511bcc4c9a9586
hex84167ebe3efe

145232150544126 has 96 divisors (see below), whose sum is σ = 324225421273728. Its totient is φ = 46958980561920.

The previous prime is 145232150544059. The next prime is 145232150544137. The reversal of 145232150544126 is 621445051232541.

145232150544126 is a `hidden beast` number, since 1 + 4 + 5 + 2 + 32 + 1 + 50 + 544 + 1 + 26 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3357093336 + ... + 3357136596.

It is an arithmetic number, because the mean of its divisors is an integer number (3377348138268).

Almost surely, 2145232150544126 is an apocalyptic number.

145232150544126 is an abundant number, since it is smaller than the sum of its proper divisors (178993270729602).

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

145232150544126 is a wasteful number, since it uses less digits than its factorization.

145232150544126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78546 (or 78543 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 145232150544126 in words is "one hundred forty-five trillion, two hundred thirty-two billion, one hundred fifty million, five hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 18 47 94 113 141 226 282 339 423 678 846 1017 2034 5311 10622 15933 31866 35117 43261 47799 70234 86522 95598 105351 129783 210702 259566 316053 389349 632106 778698 1650499 2033267 3300998 3968221 4066534 4888493 4951497 6099801 7936442 9776986 9902994 11904663 12199602 14665479 14854491 18299403 23809326 29330958 29708982 35713989 36598806 43996437 71427978 87992874 186506387 229759171 373012774 459518342 559519161 689277513 1119038322 1378555026 1519196537 1678557483 2067832539 3038393074 3357114966 4135665078 4557589611 9115179222 13672768833 27345537666 71402237239 142804474478 171669208681 214206711717 343338417362 428413423434 515007626043 642620135151 1030015252086 1285240270302 1545022878129 3090045756258 8068452808007 16136905616014 24205358424021 48410716848042 72616075272063 145232150544126