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3803483423040 = 263572321069933
BaseRepresentation
bin110111010110010001010…
…001110100000101000000
3111110121110022002020111220
4313112101101310011000
5444304013224014130
612031143545435040
7541535602444320
oct67262121640500
914417408066456
103803483423040
111237059265794
12515182a9ba80
13217889390832
14d2137b43280
1568e0d76b410
hex37591474140

3803483423040 has 336 divisors, whose sum is σ = 14427366672768. Its totient is φ = 831568269312.

The previous prime is 3803483423009. The next prime is 3803483423041. The reversal of 3803483423040 is 403243843083.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×38034834230402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3803483422983 and 3803483423001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3803483423041) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3019914 + ... + 4089846.

It is an arithmetic number, because the mean of its divisors is an integer number (42938591288).

Almost surely, 23803483423040 is an apocalyptic number.

3803483423040 is a gapful number since it is divisible by the number (30) 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 3803483423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7213683336384).

3803483423040 is an abundant number, since it is smaller than the sum of its proper divisors (10623883249728).

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

3803483423040 is a wasteful number, since it uses less digits than its factorization.

3803483423040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1070006 (or 1069973 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 42.

The spelling of 3803483423040 in words is "three trillion, eight hundred three billion, four hundred eighty-three million, four hundred twenty-three thousand, forty".