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200300441424 = 24319599294007
BaseRepresentation
bin1011101010001011010…
…1100010111101010000
3201011000021121200122120
42322202311202331100
511240203403111144
6232003341334240
720320426442346
oct2724265427520
9634007550576
10200300441424
1177a464172a6
12329a0267380
1315b71642b75
1499a1d6b996
155324a1de19
hex2ea2d62f50

200300441424 has 160 divisors (see below), whose sum is σ = 554643072000. Its totient is φ = 62098255872.

The previous prime is 200300441423. The next prime is 200300441459. The reversal of 200300441424 is 424144003002.

It is a happy number.

200300441424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 200300441394 and 200300441403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200300441423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49985629 + ... + 49989635.

It is an arithmetic number, because the mean of its divisors is an integer number (3466519200).

Almost surely, 2200300441424 is an apocalyptic number.

200300441424 is a gapful number since it is divisible by the number (24) 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 200300441424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277321536000).

200300441424 is an abundant number, since it is smaller than the sum of its proper divisors (354342630576).

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

200300441424 is a wasteful number, since it uses less digits than its factorization.

200300441424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025 (or 5019 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 200300441424 its reverse (424144003002), we get a palindrome (624444444426).

The spelling of 200300441424 in words is "two hundred billion, three hundred million, four hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 708 912 929 944 1121 1416 1858 2242 2787 2832 3363 3716 4007 4484 5574 6726 7432 8014 8968 11148 12021 13452 14864 16028 17651 17936 22296 24042 26904 32056 35302 44592 48084 52953 53808 54811 64112 70604 76133 96168 105906 109622 141208 152266 164433 192336 211812 219244 228399 236413 282416 304532 328866 423624 438488 456798 472826 609064 657732 709239 847248 876976 913596 945652 1041409 1218128 1315464 1418478 1827192 1891304 2082818 2630928 2836956 3124227 3654384 3722503 3782608 4165636 4491847 5673912 6248454 7445006 8331272 8983694 11167509 11347824 12496908 13475541 14890012 16662544 17967388 22335018 24993816 26951082 29780024 35934776 44670036 49987632 53902164 59560048 70727557 71869552 89340072 107804328 141455114 178680144 212182671 215608656 219627677 282910228 424365342 439255354 565820456 658883031 848730684 878510708 1131640912 1317766062 1697461368 1757021416 2635532124 3394922736 3514042832 4172925863 5271064248 8345851726 10542128496 12518777589 16691703452 25037555178 33383406904 50075110356 66766813808 100150220712 200300441424