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214243015440 = 24351752510543
BaseRepresentation
bin1100011110000111100…
…0001111101100010000
3202110222222000211120210
43013201320033230100
512002232202443230
6242231043204120
721323066404236
oct3074170175420
9673888024523
10214243015440
1182950662543
1235631676640
131728409656c
14a525976956
15588daabeb0
hex31e1e0fb10

214243015440 has 80 divisors (see below), whose sum is σ = 703221205248. Its totient is φ = 53770795008.

The previous prime is 214243015421. The next prime is 214243015499. The reversal of 214243015440 is 44510342412.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 214243015398 and 214243015407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26251192 + ... + 26259351.

Almost surely, 2214243015440 is an apocalyptic number.

214243015440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214243015440 is an abundant number, since it is smaller than the sum of its proper divisors (488978189808).

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

214243015440 is a wasteful number, since it uses less digits than its factorization.

214243015440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52510576 (or 52510570 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 214243015440 its reverse (44510342412), we get a palindrome (258753357852).

The spelling of 214243015440 in words is "two hundred fourteen billion, two hundred forty-three million, fifteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 52510543 105021086 157531629 210042172 262552715 315063258 420084344 525105430 630126516 787658145 840168688 892679231 1050210860 1260253032 1575316290 1785358462 2100421720 2520506064 2678037693 3150632580 3570716924 4200843440 4463396155 5356075386 6301265160 7141433848 8926792310 10712150772 12602530320 13390188465 14282867696 17853584620 21424301544 26780376930 35707169240 42848603088 53560753860 71414338480 107121507720 214243015440