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145041122424 = 233116716674919
BaseRepresentation
bin1000011100010100011…
…1111110010001111000
3111212101011110102200010
42013011013332101320
54334021011404144
6150344142341520
713323153125142
oct2070507762170
9455334412603
10145041122424
1156569a29020
1224139b8a8a0
13108a60bb283
14703cd55c92
153b8d59c5b9
hex21c51fe478

145041122424 has 128 divisors (see below), whose sum is σ = 401793177600. Its totient is φ = 43261088640.

The previous prime is 145041122423. The next prime is 145041122489. The reversal of 145041122424 is 424221140541.

145041122424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145041122391 and 145041122400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145041122423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29483437 + ... + 29488355.

It is an arithmetic number, because the mean of its divisors is an integer number (3139009200).

Almost surely, 2145041122424 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 145041122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200896588800).

145041122424 is an abundant number, since it is smaller than the sum of its proper divisors (256752055176).

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

145041122424 is a wasteful number, since it uses less digits than its factorization.

145041122424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6673 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

Adding to 145041122424 its reverse (424221140541), we get a palindrome (569262262965).

The spelling of 145041122424 in words is "one hundred forty-five billion, forty-one million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 67 88 132 134 201 264 268 402 536 737 804 1474 1608 1667 2211 2948 3334 4422 4919 5001 5896 6668 8844 9838 10002 13336 14757 17688 18337 19676 20004 29514 36674 39352 40008 54109 55011 59028 73348 108218 110022 111689 118056 146696 162327 216436 220044 223378 324654 329573 335067 432872 440088 446756 649308 659146 670134 893512 988719 1228579 1298616 1318292 1340268 1977438 2457158 2636584 2680536 3625303 3685737 3954876 4914316 7250606 7371474 7909752 8199973 9828632 10875909 14501212 14742948 16399946 21751818 24599919 29002424 29485896 32799892 43503636 49199838 65599784 87007272 90199703 98399676 180399406 196799352 270599109 360798812 541198218 549398191 721597624 1082396436 1098796382 1648194573 2164792872 2197592764 3296389146 4395185528 6043380101 6592778292 12086760202 13185556584 18130140303 24173520404 36260280606 48347040808 72520561212 145041122424