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133443201423400 = 235211240159323189
BaseRepresentation
bin11110010101110110101010…
…100111100101100000101000
3122111111001020010221122000021
4132111312222213211200220
5114442313134031022100
61151450543242050224
740051644633666361
oct3625665247454050
9574431203848007
10133443201423400
1139578a4238a100
1212b7222a1a9974
13595c841b2233b
1424d4984aa0b68
15106626d29ca1a
hex795daa9e5828

133443201423400 has 288 divisors, whose sum is σ = 342466299113400. Its totient is φ = 48320081920000.

The previous prime is 133443201423331. The next prime is 133443201423403. The reversal of 133443201423400 is 4324102344331.

It can be written as a sum of positive squares in 12 ways, for example, as 52066528529796 + 81376672893604 = 7215714^2 + 9020902^2 .

It is a super-2 number, since 2×1334432014234002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133443201423403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5754579006 + ... + 5754602194.

Almost surely, 2133443201423400 is an apocalyptic number.

133443201423400 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 133443201423400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171233149556700).

133443201423400 is an abundant number, since it is smaller than the sum of its proper divisors (209023097690000).

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

133443201423400 is a wasteful number, since it uses less digits than its factorization.

133443201423400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24221 (or 24201 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 34.

Adding to 133443201423400 its reverse (4324102344331), we get a palindrome (137767303767731).

The spelling of 133443201423400 in words is "one hundred thirty-three trillion, four hundred forty-three billion, two hundred one million, four hundred twenty-three thousand, four hundred".