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4241432342200 = 2352107235784089
BaseRepresentation
bin111101101110001001000…
…100010110111010111000
3120000110212201020110001011
4331232021010112322320
51023442423134422300
613004253115003304
7615301435025524
oct75561104267270
916013781213034
104241432342200
111395865a8a799
12586027139534
13249c71b60a11
14109401d1cd84
15754e1a48eba
hex3db89116eb8

4241432342200 has 96 divisors (see below), whose sum is σ = 9957833528400. Its totient is φ = 1679984061440.

The previous prime is 4241432342171. The next prime is 4241432342267. The reversal of 4241432342200 is 22432341424.

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, 50397756 + ... + 50481844.

Almost surely, 24241432342200 is an apocalyptic number.

4241432342200 is a gapful number since it is divisible by the number (40) 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 4241432342200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4978916764200).

4241432342200 is an abundant number, since it is smaller than the sum of its proper divisors (5716401186200).

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

4241432342200 is a wasteful number, since it uses less digits than its factorization.

4241432342200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86569 (or 86560 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 31.

Adding to 4241432342200 its reverse (22432341424), we get a palindrome (4263864683624).

The spelling of 4241432342200 in words is "four trillion, two hundred forty-one billion, four hundred thirty-two million, three hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2357 2675 4280 4714 5350 9428 10700 11785 18856 21400 23570 47140 58925 84089 94280 117850 168178 235700 252199 336356 420445 471400 504398 672712 840890 1008796 1260995 1681780 2017592 2102225 2521990 3363560 4204450 5043980 6304975 8408900 8997523 10087960 12609950 16817800 17995046 25219900 35990092 44987615 50439800 71980184 89975230 179950460 198197773 224938075 359900920 396395546 449876150 792791092 899752300 990988865 1585582184 1799504600 1981977730 3963955460 4954944325 7927910920 9909888650 19819777300 21207161711 39639554600 42414323422 84828646844 106035808555 169657293688 212071617110 424143234220 530179042775 848286468440 1060358085550 2120716171100 4241432342200