Search a number
-
+
405150324110040 = 233527487122830891
BaseRepresentation
bin101110000011110110110100…
…1001001100011001011011000
31222010111222210200201020211010
41130013231221021203023120
5411100440330433010130
63553403253414533520
7151224100502353125
oct13407555111431330
91863458720636733
10405150324110040
11108103318792a43
1239534a1b9672a0
131450b686081352
14720954782d74c
1531c8d52b020b0
hex1707b692632d8

405150324110040 has 64 divisors (see below), whose sum is σ = 1215495201346560. Its totient is φ = 108036154961280.

The previous prime is 405150324110039. The next prime is 405150324110087. The reversal of 405150324110040 is 40011423051504.

It is a super-3 number, since 3×4051503241100403 (a number of 45 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58117006 + ... + 64713885.

It is an arithmetic number, because the mean of its divisors is an integer number (18992112521040).

Almost surely, 2405150324110040 is an apocalyptic number.

405150324110040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

405150324110040 is an abundant number, since it is smaller than the sum of its proper divisors (810344877236520).

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

405150324110040 is a wasteful number, since it uses less digits than its factorization.

405150324110040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122858392 (or 122858388 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 405150324110040 its reverse (40011423051504), we get a palindrome (445161747161544).

The spelling of 405150324110040 in words is "four hundred five trillion, one hundred fifty billion, three hundred twenty-four million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 27487 54974 82461 109948 137435 164922 219896 274870 329844 412305 549740 659688 824610 1099480 1649220 3298440 122830891 245661782 368492673 491323564 614154455 736985346 982647128 1228308910 1473970692 1842463365 2456617820 2947941384 3684926730 4913235640 7369853460 14739706920 3376252700917 6752505401834 10128758102751 13505010803668 16881263504585 20257516205502 27010021607336 33762527009170 40515032411004 50643790513755 67525054018340 81030064822008 101287581027510 135050108036680 202575162055020 405150324110040