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145122004332 = 223219271157277
BaseRepresentation
bin1000011100100111110…
…0100000110101101100
3111212120210122122210100
42013021330200311230
54334202213114312
6150400152111100
713325154453354
oct2071174406554
9455523578710
10145122004332
1156600651878
1224161095490
13108b9a99ba6
1470499abb64
153b957275dc
hex21c9f20d6c

145122004332 has 108 divisors (see below), whose sum is σ = 392614958736. Its totient is φ = 45182249280.

The previous prime is 145122004331. The next prime is 145122004393. The reversal of 145122004332 is 233400221541.

145122004332 is a `hidden beast` number, since 1 + 4 + 5 + 1 + 220 + 0 + 433 + 2 = 666.

It is a super-2 number, since 2×1451220043322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145122004296 and 145122004305.

It is not an unprimeable number, because it can be changed into a prime (145122004331) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 844078 + ... + 1001354.

It is an arithmetic number, because the mean of its divisors is an integer number (3635323692).

Almost surely, 2145122004332 is an apocalyptic number.

145122004332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145122004332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196307479368).

145122004332 is an abundant number, since it is smaller than the sum of its proper divisors (247492954404).

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

145122004332 is a wasteful number, since it uses less digits than its factorization.

145122004332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157396 (or 157372 counting only the distinct ones).

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

Adding to 145122004332 its reverse (233400221541), we get a palindrome (378522225873).

The spelling of 145122004332 in words is "one hundred forty-five billion, one hundred twenty-two million, four thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 361 426 639 684 722 852 1083 1278 1349 1444 2166 2556 2698 3249 4047 4332 5396 6498 8094 12141 12996 16188 24282 25631 48564 51262 76893 102524 153786 157277 230679 307572 314554 461358 471831 629108 922716 943662 1415493 1887324 2830986 2988263 5661972 5976526 8964789 11166667 11953052 17929578 22333334 26894367 33500001 35859156 44666668 53788734 56776997 67000002 100500003 107577468 113553994 134000004 170330991 201000006 212166673 227107988 340661982 402000012 424333346 510992973 636500019 681323964 848666692 1021985946 1273000038 1909500057 2043971892 2546000076 3819000114 4031166787 7638000228 8062333574 12093500361 16124667148 24187000722 36280501083 48374001444 72561002166 145122004332