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4270024241352 = 2333199483120563
BaseRepresentation
bin111110001000110001010…
…001110011000011001000
3120010012200022221102012000
4332020301101303003020
51024430002201210402
613025342210351000
7620333116122222
oct76106121630310
916105608842160
104270024241352
1113a69a8401811
1258b68658b460
1324c87a59c03c
1410a955347412
1576116c2cc1c
hex3e2314730c8

4270024241352 has 128 divisors (see below), whose sum is σ = 11923829760000. Its totient is φ = 1415826941760.

The previous prime is 4270024241317. The next prime is 4270024241369. The reversal of 4270024241352 is 2531424200724.

4270024241352 is a `hidden beast` number, since 4 + 27 + 0 + 0 + 242 + 41 + 352 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 207645423 + ... + 207665985.

It is an arithmetic number, because the mean of its divisors is an integer number (93154920000).

Almost surely, 24270024241352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4270024241352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5961914880000).

4270024241352 is an abundant number, since it is smaller than the sum of its proper divisors (7653805518648).

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

4270024241352 is a wasteful number, since it uses less digits than its factorization.

4270024241352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25608 (or 25598 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

It can be divided in two parts, 4270024 and 241352, that added together give a square (4511376 = 21242).

The spelling of 4270024241352 in words is "four trillion, two hundred seventy billion, twenty-four million, two hundred forty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 199 216 398 597 796 1194 1592 1791 2388 3582 4776 4831 5373 7164 9662 10746 14328 14493 19324 20563 21492 28986 38648 41126 42984 43479 57972 61689 82252 86958 115944 123378 130437 164504 173916 185067 246756 260874 347832 370134 493512 521748 555201 740268 961369 1043496 1110402 1480536 1922738 2220804 2884107 3845476 4092037 4441608 5768214 7690952 8184074 8652321 11536428 12276111 16368148 17304642 23072856 24552222 25956963 32736296 34609284 36828333 49104444 51913926 69218568 73656666 98208888 99339853 103827852 110484999 147313332 198679706 207655704 220969998 294626664 298019559 397359412 441939996 596039118 794718824 883879992 894058677 1192078236 1788117354 2384156472 2682176031 3576234708 5364352062 7152469416 10728704124 19768630747 21457408248 39537261494 59305892241 79074522988 118611784482 158149045976 177917676723 237223568964 355835353446 474447137928 533753030169 711670706892 1067506060338 1423341413784 2135012120676 4270024241352