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145121303430 = 2355371614073
BaseRepresentation
bin1000011100100111100…
…1110101101110000110
3111212120202100001100000
42013021321311232012
54334202023202210
6150400125102130
713325145504045
oct2071171655606
9455522301300
10145121303430
1156600213214
12241609b7946
13108b98b2b5c
14704986855c
153b95639ac0
hex21c9e75b86

145121303430 has 96 divisors (see below), whose sum is σ = 401865688224. Its totient is φ = 37653071616.

The previous prime is 145121303399. The next prime is 145121303449. The reversal of 145121303430 is 34303121541.

It is a happy number.

145121303430 is a `hidden beast` number, since 14 + 5 + 1 + 213 + 0 + 3 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 145121303394 and 145121303403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 717127 + ... + 896946.

It is an arithmetic number, because the mean of its divisors is an integer number (4186100919).

Almost surely, 2145121303430 is an apocalyptic number.

145121303430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145121303430 is an abundant number, since it is smaller than the sum of its proper divisors (256744384794).

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

145121303430 is a wasteful number, since it uses less digits than its factorization.

145121303430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614132 (or 1614120 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 145121303430 its reverse (34303121541), we get a palindrome (179424424971).

The spelling of 145121303430 in words is "one hundred forty-five billion, one hundred twenty-one million, three hundred three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 81 90 111 135 162 185 222 243 270 333 370 405 486 555 666 810 999 1110 1215 1665 1998 2430 2997 3330 4995 5994 8991 9990 14985 17982 29970 44955 89910 1614073 3228146 4842219 8070365 9684438 14526657 16140730 24211095 29053314 43579971 48422190 59720701 72633285 87159942 119441402 130739913 145266570 179162103 217899855 261479826 298603505 358324206 392219739 435799710 537486309 597207010 653699565 784439478 895810515 1074972618 1307399130 1612458927 1791621030 1961098695 2687431545 3224917854 3922197390 4837376781 5374863090 8062294635 9674753562 14512130343 16124589270 24186883905 29024260686 48373767810 72560651715 145121303430