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145324311132 = 2237211131728323
BaseRepresentation
bin1000011101011000000…
…0010000001001011100
3111220002220022220112210
42013112000100021130
54340111010424012
6150432220200420
713333162156200
oct2072600201134
9456086286483
10145324311132
11566a486a980
12241b8999110
131091c981160
1470687d0b00
153ba838a23c
hex21d601025c

145324311132 has 144 divisors (see below), whose sum is σ = 463412057472. Its totient is φ = 34842971520.

The previous prime is 145324311059. The next prime is 145324311151. The reversal of 145324311132 is 231113423541.

It is a super-2 number, since 2×1453243111322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145324311132.

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, 780078 + ... + 948245.

It is an arithmetic number, because the mean of its divisors is an integer number (3218139288).

Almost surely, 2145324311132 is an apocalyptic number.

145324311132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145324311132 is an abundant number, since it is smaller than the sum of its proper divisors (318087746340).

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

145324311132 is a wasteful number, since it uses less digits than its factorization.

145324311132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728368 (or 1728359 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

Adding to 145324311132 its reverse (231113423541), we get a palindrome (376437734673).

The spelling of 145324311132 in words is "one hundred forty-five billion, three hundred twenty-four million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 49 52 66 77 78 84 91 98 132 143 147 154 156 182 196 231 273 286 294 308 364 429 462 539 546 572 588 637 858 924 1001 1078 1092 1274 1617 1716 1911 2002 2156 2548 3003 3234 3822 4004 6006 6468 7007 7644 12012 14014 21021 28028 42042 84084 1728323 3456646 5184969 6913292 10369938 12098261 19011553 20739876 22468199 24196522 36294783 38023106 44936398 48393044 57034659 67404597 72589566 76046212 84687827 89872796 114069318 133080871 134809194 145179132 157277393 169375654 228138636 247150189 254063481 266161742 269618388 314554786 338751308 399242613 471832179 494300378 508126962 532323484 629109572 741450567 798485226 931566097 943664358 988600756 1016253924 1100941751 1482901134 1596970452 1730051323 1863132194 1887328716 2201883502 2794698291 2965802268 3302825253 3460102646 3726264388 4403767004 5190153969 5589396582 6605650506 6920205292 10380307938 11178793164 12110359261 13211301012 20760615876 24220718522 36331077783 48441437044 72662155566 145324311132