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155535032304440 = 23517761369781299
BaseRepresentation
bin100011010111010101010010…
…010110011100001100111000
3202101201000002211021002101022
4203113111102112130030320
5130341241221232220230
61310443450223442012
744522015044105445
oct4327252226341470
9671630084232338
10155535032304440
1145616044a45038
121553b893756308
1368a2b768a2769
142a59d159009cc
1512eac530961e5
hex8d755259c338

155535032304440 has 128 divisors (see below), whose sum is σ = 371131176456000. Its totient is φ = 58460884500480.

The previous prime is 155535032304437. The next prime is 155535032304473. The reversal of 155535032304440 is 44403230535551.

It is a super-2 number, since 2×1555350323044402 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 155535032304391 and 155535032304400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1913082911 + ... + 1913164209.

Almost surely, 2155535032304440 is an apocalyptic number.

155535032304440 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 155535032304440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185565588228000).

155535032304440 is an abundant number, since it is smaller than the sum of its proper divisors (215596144151560).

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

155535032304440 is a wasteful number, since it uses less digits than its factorization.

155535032304440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85785 (or 85781 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 44.

Adding to 155535032304440 its reverse (44403230535551), we get a palindrome (199938262839991).

The spelling of 155535032304440 in words is "one hundred fifty-five trillion, five hundred thirty-five billion, thirty-two million, three hundred four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 761 1522 3044 3697 3805 6088 7394 7610 12937 14788 15220 18485 25874 29576 30440 36970 51748 62849 64685 73940 81299 103496 125698 129370 147880 162598 251396 258740 314245 325196 406495 502792 517480 628490 650392 812990 1256980 1382083 1625980 2513960 2764166 2813417 3251960 5528332 5626834 6910415 11056664 11253668 13820830 14067085 22507336 27641660 28134170 47828089 55283320 56268340 61868539 95656178 112536680 123737078 191312356 239140445 247474156 300562403 309342695 382624712 478280890 494948312 601124806 618685390 956561780 1051765163 1202249612 1237370780 1502812015 1913123560 2103530326 2404499224 2474741560 3005624030 4207060652 5109560851 5258825815 6011248060 8414121304 10219121702 10517651630 12022496120 20438243404 21035303260 25547804255 40876486808 42070606520 51095608510 102191217020 204382434040 228727988683 457455977366 914911954732 1143639943415 1829823909464 2287279886830 3888375807611 4574559773660 7776751615222 9149119547320 15553503230444 19441879038055 31107006460888 38883758076110 77767516152220 155535032304440