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241012214400 = 2735225105439
BaseRepresentation
bin1110000001110101110…
…0101000101010000000
3212001002120000001010010
43200131130220222000
512422043111330100
6302415224104520
723261336010126
oct3403534505200
9761076001103
10241012214400
1193238125971
123a862605140
131995bcc7369
14b944c99916
156408c51750
hex381d728a80

241012214400 has 96 divisors (see below), whose sum is σ = 793834012800. Its totient is φ = 64269921280.

The previous prime is 241012214393. The next prime is 241012214423. The reversal of 241012214400 is 4412210142.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12543120 + ... + 12562319.

It is an arithmetic number, because the mean of its divisors is an integer number (8269104300).

Almost surely, 2241012214400 is an apocalyptic number.

241012214400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

241012214400 is an abundant number, since it is smaller than the sum of its proper divisors (552821798400).

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

241012214400 is a wasteful number, since it uses less digits than its factorization.

241012214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25105466 (or 25105449 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 241012214400 its reverse (4412210142), we get a palindrome (245424424542).

The spelling of 241012214400 in words is "two hundred forty-one billion, twelve million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 384 400 480 600 640 800 960 1200 1600 1920 2400 3200 4800 9600 25105439 50210878 75316317 100421756 125527195 150632634 200843512 251054390 301265268 376581585 401687024 502108780 602530536 627635975 753163170 803374048 1004217560 1205061072 1255271950 1506326340 1606748096 1882907925 2008435120 2410122144 2510543900 3012652680 3213496192 3765815850 4016870240 4820244288 5021087800 6025305360 7531631700 8033740480 9640488576 10042175600 12050610720 15063263400 16067480960 20084351200 24101221440 30126526800 40168702400 48202442880 60253053600 80337404800 120506107200 241012214400