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10241301440 = 26541780587
BaseRepresentation
bin10011000100110110…
…11101101111000000
3222102201211000110202
421202123131233000
5131433233121230
64412122344332
7511534424456
oct114233355700
928381730422
1010241301440
114385a47397
121b9995b0a8
13c729a57a6
146d22169d6
153ee174a45
hex2626ddbc0

10241301440 has 56 divisors (see below), whose sum is σ = 24981938352. Its totient is φ = 3996600320.

The previous prime is 10241301431. The next prime is 10241301461. The reversal of 10241301440 is 4410314201.

10241301440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 377174 + ... + 403413.

It is an arithmetic number, because the mean of its divisors is an integer number (446106042).

Almost surely, 210241301440 is an apocalyptic number.

10241301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10241301440 is an abundant number, since it is smaller than the sum of its proper divisors (14740636912).

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

10241301440 is an equidigital number, since it uses as much as digits as its factorization.

10241301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780645 (or 780635 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10241301440 its reverse (4410314201), we get a palindrome (14651615641).

The spelling of 10241301440 in words is "ten billion, two hundred forty-one million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 160 164 205 320 328 410 656 820 1312 1640 2624 3280 6560 13120 780587 1561174 3122348 3902935 6244696 7805870 12489392 15611740 24978784 31223480 32004067 49957568 62446960 64008134 124893920 128016268 160020335 249787840 256032536 320040670 512065072 640081340 1024130144 1280162680 2048260288 2560325360 5120650720 10241301440