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10040421040 = 2451314396709
BaseRepresentation
bin10010101100111010…
…01010101010110000
3221220201211020100221
421112131022222300
5131030321433130
64340145022424
7503545112356
oct112635125260
927821736327
1010040421040
114292612a31
121b42624a14
13c401a0850
146b36857d6
153db6e487a
hex25674aab0

10040421040 has 80 divisors (see below), whose sum is σ = 25160889600. Its totient is φ = 3704103936.

The previous prime is 10040421031. The next prime is 10040421043. The reversal of 10040421040 is 4012404001.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10040421043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493206 + ... + 1499914.

It is an arithmetic number, because the mean of its divisors is an integer number (314511120).

Almost surely, 210040421040 is an apocalyptic number.

10040421040 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 10040421040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12580444800).

10040421040 is an abundant number, since it is smaller than the sum of its proper divisors (15120468560).

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

10040421040 is a wasteful number, since it uses less digits than its factorization.

10040421040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 10040421040 its reverse (4012404001), we get a palindrome (14052825041).

The spelling of 10040421040 in words is "ten billion, forty million, four hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1439 2878 5756 6709 7195 11512 13418 14390 18707 23024 26836 28780 33545 37414 53672 57560 67090 74828 87217 93535 107344 115120 134180 149656 174434 187070 268360 299312 348868 374140 436085 536720 697736 748280 872170 1395472 1496560 1744340 3488680 6977360 9654251 19308502 38617004 48271255 77234008 96542510 125505263 154468016 193085020 251010526 386170040 502021052 627526315 772340080 1004042104 1255052630 2008084208 2510105260 5020210520 10040421040