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10340124240 = 2435271158981
BaseRepresentation
bin10011010000101000…
…11100011001010000
3222200121202201212110
421220110130121100
5132134032433430
64430012425320
7514144414545
oct115024343120
928617681773
1010340124240
114426804426
122006a78240
13c8a2c6514
147013bcbcc
15407b957b0
hex26851c650

10340124240 has 80 divisors (see below), whose sum is σ = 32172869376. Its totient is φ = 2747174400.

The previous prime is 10340124209. The next prime is 10340124259. The reversal of 10340124240 is 4242104301.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14451 + ... + 144530.

Almost surely, 210340124240 is an apocalyptic number.

10340124240 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 10340124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086434688).

10340124240 is an abundant number, since it is smaller than the sum of its proper divisors (21832745136).

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

10340124240 is a wasteful number, since it uses less digits than its factorization.

10340124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159268 (or 159262 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 10340124240 its reverse (4242104301), we get a palindrome (14582228541).

The spelling of 10340124240 in words is "ten billion, three hundred forty million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 271 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 10840 13008 16260 21680 32520 65040 158981 317962 476943 635924 794905 953886 1271848 1589810 1907772 2384715 2543696 3179620 3815544 4769430 6359240 7631088 9538860 12718480 19077720 38155440 43083851 86167702 129251553 172335404 215419255 258503106 344670808 430838510 517006212 646257765 689341616 861677020 1034012424 1292515530 1723354040 2068024848 2585031060 3446708080 5170062120 10340124240