Search a number
-
+
155334004112540 = 2251119259314331371
BaseRepresentation
bin100011010100011010000100…
…001000101111110010011100
3202100222210012211020211202102
4203110122010020233302130
5130324443020023100130
61310211242323544232
744501340266502431
oct4324320410576234
9670883184224672
10155334004112540
1145548865855070
121550892b82b078
136889c1a555416
142a502c5053b88
1512e58d9722645
hex8d468422fc9c

155334004112540 has 96 divisors (see below), whose sum is σ = 374729835997440. Its totient is φ = 53491551897600.

The previous prime is 155334004112461. The next prime is 155334004112563. The reversal of 155334004112540 is 45211400433551.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 155334004112494 and 155334004112503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3673055 + ... + 18004425.

It is an arithmetic number, because the mean of its divisors is an integer number (3903435791640).

Almost surely, 2155334004112540 is an apocalyptic number.

155334004112540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155334004112540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187364917998720).

155334004112540 is an abundant number, since it is smaller than the sum of its proper divisors (219395831884900).

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

155334004112540 is a wasteful number, since it uses less digits than its factorization.

155334004112540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14334003 (or 14334001 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 38.

The spelling of 155334004112540 in words is "one hundred fifty-five trillion, three hundred thirty-four billion, four million, one hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 1045 2090 2593 4180 5186 10372 12965 25930 28523 49267 51860 57046 98534 114092 142615 197068 246335 285230 492670 541937 570460 985340 1083874 2167748 2709685 5419370 10838740 14331371 28662742 57325484 71656855 143313710 157645081 272296049 286627420 315290162 544592098 630580324 788225405 1089184196 1361480245 1576450810 2722960490 2995256539 3152901620 5445920980 5990513078 11981026156 14976282695 29952565390 37161245003 59905130780 74322490006 148644980012 185806225015 371612450030 408773695033 706063655057 743224900060 817547390066 1412127310114 1635094780132 2043868475165 2824254620228 3530318275285 4087736950330 7060636550570 7766700205627 8175473900660 14121273101140 15533400411254 31066800822508 38833501028135 77667002056270 155334004112540