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145413500021325 = 3452298329833459
BaseRepresentation
bin100001000100000010111000…
…000000111010101001001101
3201001212101122211121011210000
4201010002320000322221031
5123024423322001140300
61233134012324034513
742425531042163054
oct4104027000725115
9631771584534700
10145413500021325
1142373578926a18
121438613ab32a39
13631a584c766a3
1427ca09db6139b
1511c28138c7c00
hex8440b803aa4d

145413500021325 has 120 divisors (see below), whose sum is σ = 282001377319200. Its totient is φ = 73977429133440.

The previous prime is 145413500021311. The next prime is 145413500021333. The reversal of 145413500021325 is 523120005314541.

145413500021325 is a `hidden beast` number, since 1 + 4 + 5 + 4 + 13 + 500 + 0 + 2 + 132 + 5 = 666.

It is not a de Polignac number, because 145413500021325 - 27 = 145413500021197 is a prime.

It is a super-2 number, since 2×1454135000213252 (a number of 29 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 145413500021325.

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 119 ways as a sum of consecutive naturals, for example, 10042555 + ... + 19790904.

It is an arithmetic number, because the mean of its divisors is an integer number (2350011477660).

Almost surely, 2145413500021325 is an apocalyptic number.

145413500021325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145413500021325 is a deficient number, since it is larger than the sum of its proper divisors (136587877297875).

145413500021325 is a wasteful number, since it uses less digits than its factorization.

145413500021325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29833593 (or 29833579 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 145413500021325 its reverse (523120005314541), we get a palindrome (668533505335866).

The spelling of 145413500021325 in words is "one hundred forty-five trillion, four hundred thirteen billion, five hundred million, twenty-one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 29 45 75 81 83 87 135 145 225 249 261 405 415 435 675 725 747 783 1245 1305 2025 2075 2175 2241 2349 2407 3735 3915 6225 6525 6723 7221 11205 11745 12035 18675 19575 21663 33615 36105 56025 58725 60175 64989 108315 168075 180525 194967 324945 541575 974835 1624725 4874175 29833459 89500377 149167295 268501131 447501885 745836475 805503393 865170311 1342505655 2237509425 2416510179 2476177097 2595510933 4027516965 4325851555 6712528275 7428531291 7786532799 12082550895 12380885485 12977554665 20137584825 21629257775 22285593873 23359598397 37142656455 38932663995 60412754475 61904427425 64887773325 66856781619 70078795191 71809135813 111427969365 116797991985 185713282275 194663319975 200570344857 215427407439 334283908095 350393975955 359045679065 557139846825 583989959925 646282222317 1002851724285 1077137037195 1671419540475 1751969879775 1795228395325 1938846666951 3231411111585 5014258621425 5385685185975 5816540000853 9694233334755 16157055557925 29082700004265 48471166673775 145413500021325