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134433414440 = 23513719359563
BaseRepresentation
bin111110100110011011…
…0110001110100101000
3110211222220012000220122
41331030312301310220
54200304423230230
6141431410342412
712466246111613
oct1751466616450
9424886160818
10134433414440
1152016181006
122207958aa08
13c8a55369a0
14671420117a
15376c19cbe5
hex1f4cdb1d28

134433414440 has 64 divisors (see below), whose sum is σ = 326196460800. Its totient is φ = 49567779072.

The previous prime is 134433414413. The next prime is 134433414497. The reversal of 134433414440 is 44414334431.

It is a self number, because there is not a number n which added to its sum of digits gives 134433414440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194099 + ... + 553661.

It is an arithmetic number, because the mean of its divisors is an integer number (5096819700).

Almost surely, 2134433414440 is an apocalyptic number.

134433414440 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 134433414440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163098230400).

134433414440 is an abundant number, since it is smaller than the sum of its proper divisors (191763046360).

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

134433414440 is a wasteful number, since it uses less digits than its factorization.

134433414440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360306 (or 360302 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 134433414440 its reverse (44414334431), we get a palindrome (178847748871).

The spelling of 134433414440 in words is "one hundred thirty-four billion, four hundred thirty-three million, four hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 719 1438 2876 3595 5752 7190 9347 14380 18694 28760 37388 46735 74776 93470 186940 359563 373880 719126 1438252 1797815 2876504 3595630 4674319 7191260 9348638 14382520 18697276 23371595 37394552 46743190 93486380 186972760 258525797 517051594 1034103188 1292628985 2068206376 2585257970 3360835361 5170515940 6721670722 10341031880 13443341444 16804176805 26886682888 33608353610 67216707220 134433414440