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200124033104000 = 275327914481459
BaseRepresentation
bin101101100000001100000001…
…111001110111100010000000
3222020120200002221210120200002
4231200030001321313202000
5202212313004433312000
61545343413413215132
760103325046310565
oct5540140171674200
9866520087716602
10200124033104000
1158847142512175
121a5414659314a8
1387887ccbb8705
14375c0aa85a86c
151820a431588d5
hexb60301e77880

200124033104000 has 128 divisors (see below), whose sum is σ = 497736760809600. Its totient is φ = 80020914048000.

The previous prime is 200124033103919. The next prime is 200124033104033. The reversal of 200124033104000 is 401330421002.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42415271 + ... + 46896729.

It is an arithmetic number, because the mean of its divisors is an integer number (3888568443825).

Almost surely, 2200124033104000 is an apocalyptic number.

200124033104000 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 200124033104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248868380404800).

200124033104000 is an abundant number, since it is smaller than the sum of its proper divisors (297612727705600).

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

200124033104000 is an equidigital number, since it uses as much as digits as its factorization.

200124033104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4484279 (or 4484257 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 200124033104000 its reverse (401330421002), we get a palindrome (200525363525002).

The spelling of 200124033104000 in words is "two hundred trillion, one hundred twenty-four billion, thirty-three million, one hundred four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 2791 3200 4000 5582 8000 11164 13955 16000 22328 27910 44656 55820 69775 89312 111640 139550 178624 223280 279100 348875 357248 446560 558200 697750 893120 1116400 1395500 1786240 2232800 2791000 4465600 4481459 5582000 8931200 8962918 11164000 17925836 22328000 22407295 35851672 44656000 44814590 71703344 89629180 112036475 143406688 179258360 224072950 286813376 358516720 448145900 560182375 573626752 717033440 896291800 1120364750 1434066880 1792583600 2240729500 2868133760 3585167200 4481459000 7170334400 8962918000 12507752069 14340668800 17925836000 25015504138 35851672000 50031008276 62538760345 71703344000 100062016552 125077520690 200124033104 250155041380 312693801725 400248066208 500310082760 625387603450 800496132416 1000620165520 1250775206900 1563469008625 1600992264832 2001240331040 2501550413800 3126938017250 4002480662080 5003100827600 6253876034500 8004961324160 10006201655200 12507752069000 20012403310400 25015504138000 40024806620800 50031008276000 100062016552000 200124033104000