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214304323030240 = 25510393851334751
BaseRepresentation
bin110000101110100010011101…
…000011000100110011100000
31001002210021220202000201201011
4300232202131003010303200
5211042130223143431430
62035442014043150304
763065655622033402
oct6056423503046340
91032707822021634
10214304323030240
1162313a534a28a3
1220051744215394
139276a70865691
143acc5553d4b72
1519b9831e2e22a
hexc2e89d0c4ce0

214304323030240 has 96 divisors (see below), whose sum is σ = 506914364436480. Its totient is φ = 85616731200000.

The previous prime is 214304323030223. The next prime is 214304323030243. The reversal of 214304323030240 is 42030323403412.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214304323030243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640022865 + ... + 640357615.

It is an arithmetic number, because the mean of its divisors is an integer number (5280357962880).

Almost surely, 2214304323030240 is an apocalyptic number.

214304323030240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214304323030240 is an abundant number, since it is smaller than the sum of its proper divisors (292610041406240).

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

214304323030240 is a wasteful number, since it uses less digits than its factorization.

214304323030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339656 (or 339648 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 31.

Adding to 214304323030240 its reverse (42030323403412), we get a palindrome (256334646433652).

The spelling of 214304323030240 in words is "two hundred fourteen trillion, three hundred four billion, three hundred twenty-three million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1039 2078 3851 4156 5195 7702 8312 10390 15404 16624 19255 20780 30808 33248 38510 41560 61616 77020 83120 123232 154040 166240 308080 334751 616160 669502 1339004 1673755 2678008 3347510 4001189 5356016 6695020 8002378 10712032 13390040 16004756 20005945 26780080 32009512 40011890 53560160 64019024 80023780 128038048 160047560 320095120 347806289 640190240 695612578 1289126101 1391225156 1739031445 2578252202 2782450312 3478062890 5156504404 5564900624 6445630505 6956125780 10313008808 11129801248 12891261010 13912251560 20626017616 25782522020 27824503120 41252035232 51565044040 55649006240 103130088080 206260176160 1339402018939 2678804037878 5357608075756 6697010094695 10715216151512 13394020189390 21430432303024 26788040378780 42860864606048 53576080757560 107152161515120 214304323030240