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10411047340 = 2251943897159
BaseRepresentation
bin10011011001000101…
…11111100110101100
3222212120020000001221
421230202333212230
5132310212003330
64441024513124
7515665304461
oct115442774654
928776200057
1010411047340
114462845a61
12202677b7a4
13c9bbc9255
1470a9a1668
1540e004b7a
hex26c8bf9ac

10411047340 has 96 divisors (see below), whose sum is σ = 23817024000. Its totient is φ = 3809659392.

The previous prime is 10411047337. The next prime is 10411047341. The reversal of 10411047340 is 4374011401.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10411047341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1450681 + ... + 1457839.

It is an arithmetic number, because the mean of its divisors is an integer number (248094000).

Almost surely, 210411047340 is an apocalyptic number.

10411047340 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 10411047340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11908512000).

10411047340 is an abundant number, since it is smaller than the sum of its proper divisors (13405976660).

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

10411047340 is a wasteful number, since it uses less digits than its factorization.

10411047340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7319 (or 7317 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

Adding to 10411047340 its reverse (4374011401), we get a palindrome (14785058741).

The spelling of 10411047340 in words is "ten billion, four hundred eleven million, forty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 43 76 86 89 95 172 178 190 215 356 380 430 445 817 860 890 1634 1691 1780 3268 3382 3827 4085 6764 7159 7654 8170 8455 14318 15308 16340 16910 19135 28636 33820 35795 38270 71590 72713 76540 136021 143180 145426 272042 290852 307837 363565 544084 615674 637151 680105 727130 1231348 1274302 1360210 1454260 1539185 2548604 2720420 3078370 3185755 5848903 6156740 6371510 11697806 12105869 12743020 23395612 24211738 27397493 29244515 48423476 54794986 58489030 60529345 109589972 116978060 121058690 136987465 242117380 273974930 520552367 547949860 1041104734 2082209468 2602761835 5205523670 10411047340