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2240103100032 = 273271823152381
BaseRepresentation
bin100000100110010000100…
…011001010111010000000
321221011002122012002121200
4200212100203022322000
5243200212343200112
64433031131421200
7320561562116040
oct40462043127200
97834078162550
102240103100032
11794027889666
12302191bb4800
131333190c3625
147a5c8ad9720
153d40c001cdc
hex209908cae80

2240103100032 has 192 divisors, whose sum is σ = 7371095247360. Its totient is φ = 639674173440.

The previous prime is 2240103100019. The next prime is 2240103100051. The reversal of 2240103100032 is 2300013010422.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2240103099978 and 2240103100014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14624482 + ... + 14776862.

It is an arithmetic number, because the mean of its divisors is an integer number (38391121080).

Almost surely, 22240103100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240103100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685547623680).

2240103100032 is an abundant number, since it is smaller than the sum of its proper divisors (5130992147328).

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

2240103100032 is a wasteful number, since it uses less digits than its factorization.

2240103100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154231 (or 154216 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2240103100032 its reverse (2300013010422), we get a palindrome (4540116110454).

The spelling of 2240103100032 in words is "two trillion, two hundred forty billion, one hundred three million, one hundred thousand, thirty-two".