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202124342640 = 243511683112097
BaseRepresentation
bin1011110000111110001…
…1001011010101110000
3201022201101121110202110
42330033203023111300
511302422312431030
6232504334045320
720413554364533
oct2741743132560
9638641543673
10202124342640
11787a1a16280
123320b049840
13160a2480c5c
149ad62a6a1a
1553cebe91b0
hex2f0f8cb570

202124342640 has 160 divisors (see below), whose sum is σ = 684554685696. Its totient is φ = 48927662080.

The previous prime is 202124342633. The next prime is 202124342653. The reversal of 202124342640 is 46243421202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202124342598 and 202124342607.

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, 1747072 + ... + 1859168.

Almost surely, 2202124342640 is an apocalyptic number.

202124342640 is a gapful number since it is divisible by the number (20) 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 202124342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342277342848).

202124342640 is an abundant number, since it is smaller than the sum of its proper divisors (482430343056).

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

202124342640 is a wasteful number, since it uses less digits than its factorization.

202124342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112807 (or 112801 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 202124342640 its reverse (46243421202), we get a palindrome (248367763842).

The spelling of 202124342640 in words is "two hundred two billion, one hundred twenty-four million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 683 880 1320 1366 2049 2640 2732 3415 4098 5464 6830 7513 8196 10245 10928 13660 15026 16392 20490 22539 27320 30052 32784 37565 40980 45078 54640 60104 75130 81960 90156 112097 112695 120208 150260 163920 180312 224194 225390 300520 336291 360624 448388 450780 560485 601040 672582 896776 901560 1120970 1233067 1345164 1681455 1793552 1803120 2241940 2466134 2690328 3362910 3699201 4483880 4932268 5380656 6165335 6725820 7398402 8967760 9864536 12330670 13451640 14796804 18496005 19729072 24661340 26903280 29593608 36992010 49322680 59187216 73984020 76562251 98645360 147968040 153124502 229686753 295936080 306249004 382811255 459373506 612498008 765622510 842184761 918747012 1148433765 1224996016 1531245020 1684369522 1837494024 2296867530 2526554283 3062490040 3368739044 3674988048 4210923805 4593735060 5053108566 6124980080 6737478088 8421847610 9187470120 10106217132 12632771415 13474956176 16843695220 18374940240 20212434264 25265542830 33687390440 40424868528 50531085660 67374780880 101062171320 202124342640