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145421504040 = 233517371926623
BaseRepresentation
bin1000011101101111001…
…1000000111000101000
3111220100200012211011010
42013123303000320220
54340310401112130
6150450011303520
713335452250351
oct2073363007050
9456320184133
10145421504040
115674471439a
122422544aba0
1310936b51057
147077690d28
153bb1b880b0
hex21dbcc0e28

145421504040 has 128 divisors (see below), whose sum is σ = 474411893760. Its totient is φ = 35511496704.

The previous prime is 145421504017. The next prime is 145421504083. The reversal of 145421504040 is 40405124541.

It is a super-2 number, since 2×1454215040402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145421503989 and 145421504007.

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 31 ways as a sum of consecutive naturals, for example, 887832 + ... + 1038791.

It is an arithmetic number, because the mean of its divisors is an integer number (3706342920).

Almost surely, 2145421504040 is an apocalyptic number.

145421504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145421504040 is an abundant number, since it is smaller than the sum of its proper divisors (328990389720).

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

145421504040 is a wasteful number, since it uses less digits than its factorization.

145421504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1926691 (or 1926687 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 30.

Adding to 145421504040 its reverse (40405124541), we get a palindrome (185826628581).

The spelling of 145421504040 in words is "one hundred forty-five billion, four hundred twenty-one million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 888 1020 1110 1258 1480 1887 2040 2220 2516 3145 3774 4440 5032 6290 7548 9435 12580 15096 18870 25160 37740 75480 1926623 3853246 5779869 7706492 9633115 11559738 15412984 19266230 23119476 28899345 32752591 38532460 46238952 57798690 65505182 71285051 77064920 98257773 115597380 131010364 142570102 163762955 196515546 213855153 231194760 262020728 285140204 327525910 356425255 393031092 427710306 491288865 570280408 655051820 712850510 786062184 855420612 982577730 1069275765 1211845867 1310103640 1425701020 1710841224 1965155460 2138551530 2423691734 2851402040 3635537601 3930310920 4277103060 4847383468 6059229335 7271075202 8554206120 9694766936 12118458670 14542150404 18177688005 24236917340 29084300808 36355376010 48473834680 72710752020 145421504040