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4244240432340 = 2232577332539377
BaseRepresentation
bin111101110000110000011…
…100010111110011010100
3120000202010102011012112200
4331300300130113303110
51024014201022313330
613005435510044500
7615431143300326
oct75606034276324
916022112135480
104244240432340
111396a77093447
1258668b649730
1324a2cb86140c
141095cac4b616
1575608330a60
hex3dc30717cd4

4244240432340 has 144 divisors (see below), whose sum is σ = 12896188735248. Its totient is φ = 1129865306112.

The previous prime is 4244240432323. The next prime is 4244240432357. The reversal of 4244240432340 is 432340424424.

4244240432340 is a `hidden beast` number, since 4 + 2 + 44 + 240 + 4 + 32 + 340 = 666.

It is an interprime number because it is at equal distance from previous prime (4244240432323) and next prime (4244240432357).

It can be written as a sum of positive squares in 8 ways, for example, as 171609690564 + 4072630741776 = 414258^2 + 2018076^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4244240432295 and 4244240432304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452617732 + ... + 452627108.

It is an arithmetic number, because the mean of its divisors is an integer number (89556866217).

Almost surely, 24244240432340 is an apocalyptic number.

It is an amenable number.

4244240432340 is an abundant number, since it is smaller than the sum of its proper divisors (8651948302908).

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

4244240432340 is a wasteful number, since it uses less digits than its factorization.

4244240432340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13418 (or 13413 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 36.

Adding to 4244240432340 its reverse (432340424424), we get a palindrome (4676580856764).

The spelling of 4244240432340 in words is "four trillion, two hundred forty-four billion, two hundred forty million, four hundred thirty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 773 1546 2319 3092 3253 3865 4638 6506 6957 7730 9276 9377 9759 11595 13012 13914 15460 16265 18754 19518 23190 27828 28131 29277 32530 34785 37508 39036 46380 46885 48795 56262 58554 65060 69570 84393 93770 97590 112524 117108 139140 140655 146385 168786 187540 195180 281310 292770 337572 421965 562620 585540 843930 1687860 2514569 5029138 7248421 7543707 10058276 12572845 14496842 15087414 21745263 22631121 25145690 28993684 30174828 30503381 36242105 37718535 43490526 45262242 50291380 61006762 65235789 72484210 75437070 86981052 90524484 91510143 108726315 113155605 122013524 130471578 144968420 150874140 152516905 183020286 217452630 226311210 260943156 274530429 305033810 326178945 366040572 434905260 452622420 457550715 549060858 610067620 652357890 915101430 1098121716 1304715780 1372652145 1830202860 2745304290 5490608580 23579113513 47158227026 70737340539 94316454052 117895567565 141474681078 212212021617 235791135130 282949362156 353686702695 424424043234 471582270260 707373405390 848848086468 1061060108085 1414746810780 2122120216170 4244240432340