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30240125203440 = 2435177411795393
BaseRepresentation
bin1101110000000110100111…
…11010111011001111110000
310222001221001022121222022110
412320003103322323033300
512430423234023002230
6144152042143405320
76240530331056505
oct670032372731760
9128057038558273
1030240125203440
1196a9846356509
1234848a48b3840
1313b482973a149
147678b650b4ac
15376935c174b0
hex1b80d3ebb3f0

30240125203440 has 80 divisors (see below), whose sum is σ = 99258763916448. Its totient is φ = 7589678481408.

The previous prime is 30240125203427. The next prime is 30240125203451. The reversal of 30240125203440 is 4430252104203.

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 = 30240125203398 and 30240125203407.

It is a congruent number.

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, 3705893617 + ... + 3705901776.

Almost surely, 230240125203440 is an apocalyptic number.

30240125203440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30240125203440 is an abundant number, since it is smaller than the sum of its proper divisors (69018638713008).

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

30240125203440 is a wasteful number, since it uses less digits than its factorization.

30240125203440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411795426 (or 7411795420 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 30240125203440 its reverse (4430252104203), we get a palindrome (34670377307643).

The spelling of 30240125203440 in words is "thirty trillion, two hundred forty billion, one hundred twenty-five million, two hundred three 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 7411795393 14823590786 22235386179 29647181572 37058976965 44470772358 59294363144 74117953930 88941544716 111176930895 118588726288 126000521681 148235907860 177883089432 222353861790 252001043362 296471815720 355766178864 378001565043 444707723580 504002086724 592943631440 630002608405 756003130086 889415447160 1008004173448 1260005216810 1512006260172 1778830894320 1890007825215 2016008346896 2520010433620 3024012520344 3780015650430 5040020867240 6048025040688 7560031300860 10080041734480 15120062601720 30240125203440