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213014230440 = 233511237016279
BaseRepresentation
bin1100011001100010100…
…0110011010110101000
3202100211022212002110020
43012120220303112220
511442223120333230
6241505110120440
721250456040544
oct3063050632650
9670738762406
10213014230440
118237aa86150
123534a050120
131711963414b
14a44a6b2a24
15581ac87810
hex3198a335a8

213014230440 has 128 divisors (see below), whose sum is σ = 727447910400. Its totient is φ = 49394597120.

The previous prime is 213014230411. The next prime is 213014230447. The reversal of 213014230440 is 44032410312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 213014230440.

It is not an unprimeable number, because it can be changed into a prime (213014230447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3477780 + ... + 3538499.

It is an arithmetic number, because the mean of its divisors is an integer number (5683186800).

Almost surely, 2213014230440 is an apocalyptic number.

213014230440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213014230440 is an abundant number, since it is smaller than the sum of its proper divisors (514433679960).

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

213014230440 is a wasteful number, since it uses less digits than its factorization.

213014230440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016327 (or 7016323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 213014230440 its reverse (44032410312), we get a palindrome (257046640752).

The spelling of 213014230440 in words is "two hundred thirteen billion, fourteen million, two hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 7016279 14032558 21048837 28065116 35081395 42097674 56130232 70162790 77179069 84195348 105244185 140325580 154358138 161374417 168390696 210488370 231537207 280651160 308716276 322748834 385895345 420976740 463074414 484123251 617432552 645497668 771790690 806872085 841953480 926148828 968246502 1157686035 1290995336 1543581380 1613744170 1775118587 1852297656 1936493004 2315372070 2420616255 3087162760 3227488340 3550237174 3872986008 4630744140 4841232510 5325355761 6454976680 7100474348 8875592935 9261488280 9682465020 10650711522 14200948696 17751185870 19364930040 21301423044 26626778805 35502371740 42602846088 53253557610 71004743480 106507115220 213014230440