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2453333131040 = 2551141791014261
BaseRepresentation
bin100011101100110110000…
…011001011111100100000
322200112111000002222210112
4203230312003023330200
5310143411240143130
65115013511150452
7342150611353031
oct43546603137440
98615430088715
102453333131040
118664a8659990
12337580375428
1314a46b3548cc
1486a55d04a88
1543c3bbb5495
hex23b360cbf20

2453333131040 has 384 divisors, whose sum is σ = 6625611095040. Its totient is φ = 850636800000.

The previous prime is 2453333131037. The next prime is 2453333131063. The reversal of 2453333131040 is 401313333542.

It is a super-2 number, since 2×24533331310402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2453333130988 and 2453333131006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 575762510 + ... + 575766770.

It is an arithmetic number, because the mean of its divisors is an integer number (17254195560).

Almost surely, 22453333131040 is an apocalyptic number.

2453333131040 is a gapful number since it is divisible by the number (20) 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 2453333131040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3312805547520).

2453333131040 is an abundant number, since it is smaller than the sum of its proper divisors (4172277964000).

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

2453333131040 is a wasteful number, since it uses less digits than its factorization.

2453333131040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4500 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 32.

Adding to 2453333131040 its reverse (401313333542), we get a palindrome (2854646464582).

The spelling of 2453333131040 in words is "two trillion, four hundred fifty-three billion, three hundred thirty-three million, one hundred thirty-one thousand, forty".