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145102322024 = 231121032934967
BaseRepresentation
bin1000011100100011000…
…1011011100101101000
3111212112102121200201222
42013020301123211220
54334132143301044
6150354210201212
713324525246502
oct2071061334550
9455472550658
10145102322024
11565a0529200
1224156583208
13108b599825a
147047126d72
153b93b3a8ee
hex21c8c5b968

145102322024 has 96 divisors (see below), whose sum is σ = 303043628160. Its totient is φ = 65079231360.

The previous prime is 145102321979. The next prime is 145102322047. The reversal of 145102322024 is 420223201541.

It is a junction number, because it is equal to n+sod(n) for n = 145102321984 and 145102322002.

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 23 ways as a sum of consecutive naturals, for example, 29210789 + ... + 29215755.

It is an arithmetic number, because the mean of its divisors is an integer number (3156704460).

Almost surely, 2145102322024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145102322024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151521814080).

145102322024 is an abundant number, since it is smaller than the sum of its proper divisors (157941306136).

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

145102322024 is a wasteful number, since it uses less digits than its factorization.

145102322024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5391 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 145102322024 its reverse (420223201541), we get a palindrome (565325523565).

The spelling of 145102322024 in words is "one hundred forty-five billion, one hundred two million, three hundred twenty-two thousand, twenty-four".

Divisors: 1 2 4 8 11 22 44 88 103 121 206 242 293 412 484 586 824 968 1133 1172 2266 2344 3223 4532 4967 6446 9064 9934 12463 12892 19868 24926 25784 30179 35453 39736 49852 54637 60358 70906 99704 109274 120716 141812 218548 241432 283624 331969 437096 511601 601007 663938 1023202 1202014 1327876 1455331 2046404 2404028 2655752 2910662 3651659 4092808 4808056 5627611 5821324 7303318 11255222 11642648 14606636 16008641 22510444 29213272 32017282 45020888 61903721 64034564 123807442 128069128 149899093 176095051 247614884 299798186 352190102 495229768 599596372 704380204 1199192744 1408760408 1648890023 3297780046 6595560092 13191120184 18137790253 36275580506 72551161012 145102322024