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10431011040 = 253521731273
BaseRepresentation
bin10011011011011110…
…01001100011100000
3222220221210021010020
421231233021203200
5132330314323130
64443020433440
7516330062622
oct115557114340
928827707106
1010431011040
114473040a8a
1220313a8880
13ca3098ca8
1470d4bac12
15410b49e10
hex26dbc98e0

10431011040 has 48 divisors (see below), whose sum is σ = 32857686288. Its totient is φ = 2781602816.

The previous prime is 10431011027. The next prime is 10431011069. The reversal of 10431011040 is 4011013401.

10431011040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 10865157 + ... + 10866116.

It is an arithmetic number, because the mean of its divisors is an integer number (684535131).

Almost surely, 210431011040 is an apocalyptic number.

10431011040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10431011040 is an abundant number, since it is smaller than the sum of its proper divisors (22426675248).

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

10431011040 is a wasteful number, since it uses less digits than its factorization.

10431011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21731291 (or 21731283 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10431011040 its reverse (4011013401), we get a palindrome (14442024441).

The spelling of 10431011040 in words is "ten billion, four hundred thirty-one million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 21731273 43462546 65193819 86925092 108656365 130387638 173850184 217312730 260775276 325969095 347700368 434625460 521550552 651938190 695400736 869250920 1043101104 1303876380 1738501840 2086202208 2607752760 3477003680 5215505520 10431011040