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1404141040 = 245195771601
BaseRepresentation
bin101001110110001…
…0111110111110000
310121212010202101201
41103230113313300
510333430003130
6351155340544
746540000441
oct12354276760
93555122351
101404141040
11660667a45
123322b1754
13194b9b5b3
14d46ad2c8
1583411bca
hex53b17df0

1404141040 has 80 divisors (see below), whose sum is σ = 3444556320. Its totient is φ = 530841600.

The previous prime is 1404141029. The next prime is 1404141047. The reversal of 1404141040 is 401414041.

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

It is a super-2 number, since 2×14041410402 = 3943224120424563200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 1404140999 and 1404141017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1404141047) 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, 876240 + ... + 877840.

It is an arithmetic number, because the mean of its divisors is an integer number (43056954).

Almost surely, 21404141040 is an apocalyptic number.

1404141040 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 1404141040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1722278160).

1404141040 is an abundant number, since it is smaller than the sum of its proper divisors (2040415280).

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

1404141040 is a wasteful number, since it uses less digits than its factorization.

1404141040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2204 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

The square root of 1404141040 is about 37471.8699826950. The cubic root of 1404141040 is about 1119.7908410442.

Adding to 1404141040 its reverse (401414041), we get a palindrome (1805555081).

The spelling of 1404141040 in words is "one billion, four hundred four million, one hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 577 760 1154 1520 1601 2308 2885 3202 4616 5770 6404 8005 9232 10963 11540 12808 16010 21926 23080 25616 30419 32020 43852 46160 54815 60838 64040 87704 109630 121676 128080 152095 175408 219260 243352 304190 438520 486704 608380 877040 923777 1216760 1847554 2433520 3695108 4618885 7390216 9237770 14780432 17551763 18475540 35103526 36951080 70207052 73902160 87758815 140414104 175517630 280828208 351035260 702070520 1404141040