Search a number
-
+
42331412132200 = 23521770537176509
BaseRepresentation
bin10011010000000000011001…
…10010000111000101101000
312112212211202220011112121101
421220000030302013011220
521022024213001212300
6230010440545251144
711626225566145462
oct1150001462070550
9175784686145541
1042331412132200
1112540718630a94
1248b8140333ab4
131a80ab175b4b9
14a64bcbca5132
154d620ce71b6a
hex26800cc87168

42331412132200 has 96 divisors (see below), whose sum is σ = 104212044120600. Its totient is φ = 15936215408640.

The previous prime is 42331412132159. The next prime is 42331412132201. The reversal of 42331412132200 is 223121413324.

It can be written as a sum of positive squares in 12 ways, for example, as 5016247131204 + 37315165000996 = 2239698^2 + 6108614^2 .

It is not an unprimeable number, because it can be changed into a prime (42331412132201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239737546 + ... + 239914054.

Almost surely, 242331412132200 is an apocalyptic number.

42331412132200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42331412132200 is an abundant number, since it is smaller than the sum of its proper divisors (61880631988400).

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

42331412132200 is a wasteful number, since it uses less digits than its factorization.

42331412132200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247079 (or 247070 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 42331412132200 its reverse (223121413324), we get a palindrome (42554533545524).

The spelling of 42331412132200 in words is "forty-two trillion, three hundred thirty-one billion, four hundred twelve million, one hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 70537 141074 176509 282148 352685 353018 564296 705370 706036 882545 1199129 1410740 1412072 1763425 1765090 2398258 2821480 3000653 3526850 3530180 4412725 4796516 5995645 6001306 7053700 7060360 8825450 9593032 11991290 12002612 14107400 15003265 17650900 23982580 24005224 29978225 30006530 35301800 47965160 59956450 60013060 75016325 119912900 120026120 150032650 239825800 300065300 600130600 12450415333 24900830666 49801661332 62252076665 99603322664 124504153330 211657060661 249008306660 311260383325 423314121322 498016613320 622520766650 846628242644 1058285303305 1245041533300 1693256485288 2116570606610 2490083066600 4233141213220 5291426516525 8466282426440 10582853033050 21165706066100 42331412132200