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10011421040 = 2451713195581
BaseRepresentation
bin10010101001011101…
…00010100101110000
3221211201020212211212
421110232202211300
5131000410433130
64333231255252
7503043450305
oct112456424560
927751225755
1010011421040
114278205895
121b3497a528
13c37188a9a
146ad8970ac
153d8db6e95
hex254ba2970

10011421040 has 80 divisors (see below), whose sum is σ = 24668867520. Its totient is φ = 3765473280.

The previous prime is 10011421033. The next prime is 10011421051. The reversal of 10011421040 is 4012411001.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1791050 + ... + 1796630.

It is an arithmetic number, because the mean of its divisors is an integer number (308360844).

Almost surely, 210011421040 is an apocalyptic number.

10011421040 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 10011421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334433760).

10011421040 is an abundant number, since it is smaller than the sum of its proper divisors (14657446480).

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

10011421040 is a wasteful number, since it uses less digits than its factorization.

10011421040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6930 (or 6924 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10011421040 its reverse (4012411001), we get a palindrome (14023832041).

The spelling of 10011421040 in words is "ten billion, eleven million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1319 1360 2638 5276 5581 6595 10552 11162 13190 21104 22324 22423 26380 27905 44648 44846 52760 55810 89296 89692 94877 105520 111620 112115 179384 189754 223240 224230 358768 379508 446480 448460 474385 759016 896920 948770 1518032 1793840 1897540 3795080 7361339 7590160 14722678 29445356 36806695 58890712 73613390 117781424 125142763 147226780 250285526 294453560 500571052 588907120 625713815 1001142104 1251427630 2002284208 2502855260 5005710520 10011421040