Search a number
-
+
42104233200 = 24352172063933
BaseRepresentation
bin100111001101100110…
…111001110011110000
311000200022112122210110
4213031212321303300
51142212140430300
631201543501320
73020245035321
oct471546716360
9130608478713
1042104233200
1116946818647
1281b0757840
133c7ccc3173
142075c3a448
1511665d8550
hex9cd9b9cf0

42104233200 has 120 divisors (see below), whose sum is σ = 142807721328. Its totient is φ = 10567331840.

The previous prime is 42104233181. The next prime is 42104233247. The reversal of 42104233200 is 233240124.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011567 + ... + 1052366.

Almost surely, 242104233200 is an apocalyptic number.

42104233200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42104233200 is an abundant number, since it is smaller than the sum of its proper divisors (100703488128).

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

42104233200 is a wasteful number, since it uses less digits than its factorization.

42104233200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063971 (or 2063960 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 42104233200 its reverse (233240124), we get a palindrome (42337473324).

The spelling of 42104233200 in words is "forty-two billion, one hundred four million, two hundred thirty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 136 150 170 200 204 240 255 272 300 340 400 408 425 510 600 680 816 850 1020 1200 1275 1360 1700 2040 2550 3400 4080 5100 6800 10200 20400 2063933 4127866 6191799 8255732 10319665 12383598 16511464 20639330 24767196 30958995 33022928 35086861 41278660 49534392 51598325 61917990 70173722 82557320 99068784 103196650 105260583 123835980 140347444 154794975 165114640 175434305 206393300 210521166 247671960 280694888 309589950 350868610 412786600 421042332 495343920 526302915 561389776 619179900 701737220 825573200 842084664 877171525 1052605830 1238359800 1403474440 1684169328 1754343050 2105211660 2476719600 2631514575 2806948880 3508686100 4210423320 5263029150 7017372200 8420846640 10526058300 14034744400 21052116600 42104233200