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10141241520 = 2435307137639
BaseRepresentation
bin10010111000111011…
…10001000010110000
3222011202112110001210
421130131301002300
5131232124212040
64354150000120
7506211062544
oct113435610260
928152473053
1010141241520
114334514943
121b70346040
13c58040937
146c2c0ba24
153e54ac480
hex25c7710b0

10141241520 has 80 divisors (see below), whose sum is σ = 31540481280. Its totient is φ = 2695502592.

The previous prime is 10141241519. The next prime is 10141241543. The reversal of 10141241520 is 2514214101.

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

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, 4861 + ... + 142499.

It is an arithmetic number, because the mean of its divisors is an integer number (394256016).

Almost surely, 210141241520 is an apocalyptic number.

10141241520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10141241520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15770240640).

10141241520 is an abundant number, since it is smaller than the sum of its proper divisors (21399239760).

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

10141241520 is a wasteful number, since it uses less digits than its factorization.

10141241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137962 (or 137956 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 10141241520 its reverse (2514214101), we get a palindrome (12655455621).

The spelling of 10141241520 in words is "ten billion, one hundred forty-one million, two hundred forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 307 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 12280 14736 18420 24560 36840 73680 137639 275278 412917 550556 688195 825834 1101112 1376390 1651668 2064585 2202224 2752780 3303336 4129170 5505560 6606672 8258340 11011120 16516680 33033360 42255173 84510346 126765519 169020692 211275865 253531038 338041384 422551730 507062076 633827595 676082768 845103460 1014124152 1267655190 1690206920 2028248304 2535310380 3380413840 5070620760 10141241520