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4100200244 = 22723141109151
BaseRepresentation
bin1111010001100100…
…0001011100110100
3101120202020202100022
43310121001130310
531344122401434
61514505304312
7203415061400
oct36431013464
911522222308
104100200244
111814502148
12965195098
135046053ba
142ac798100
1518ee6922e
hexf4641734

4100200244 has 144 divisors (see below), whose sum is σ = 8966200320. Its totient is φ = 1632960000.

The previous prime is 4100200211. The next prime is 4100200261. The reversal of 4100200244 is 4420020014.

4100200244 is a modest number, since divided by 200244 gives 4100 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27153569 + ... + 27153719.

It is an arithmetic number, because the mean of its divisors is an integer number (62265280).

Almost surely, 24100200244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100200244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483100160).

4100200244 is an abundant number, since it is smaller than the sum of its proper divisors (4866000076).

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

4100200244 is a wasteful number, since it uses less digits than its factorization.

4100200244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

The square root of 4100200244 is about 64032.8059981757. The cubic root of 4100200244 is about 1600.5467199354.

Adding to 4100200244 its reverse (4420020014), we get a palindrome (8520220258).

The spelling of 4100200244 in words is "four billion, one hundred million, two hundred thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 31 41 49 62 82 98 109 124 151 164 196 217 218 287 302 434 436 574 604 763 868 1057 1148 1271 1519 1526 2009 2114 2542 3038 3052 3379 4018 4228 4469 4681 5084 5341 6076 6191 6758 7399 8036 8897 8938 9362 10682 12382 13516 14798 16459 17794 17876 18724 21364 23653 24764 29596 31283 32767 32918 35588 43337 47306 62279 62566 65534 65836 86674 94612 115213 124558 125132 131068 138539 165571 173348 191921 218981 229369 230426 249116 277078 303359 331142 383842 437962 458738 460852 510229 554156 606718 662284 674819 767684 806491 875924 917476 969773 1020458 1213436 1343447 1349638 1612982 1939546 2040916 2686894 2699276 3225964 3571603 3879092 4723733 5373788 6788411 7143206 9404129 9447466 13576822 14286412 18808258 18894932 20919389 25001221 27153644 33066131 37616516 41838778 50002442 66132262 83677556 100004884 132264524 146435723 292871446 585742892 1025050061 2050100122 4100200244