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134433452040 = 233517105162701
BaseRepresentation
bin111110100110011011…
…0111011000000001000
3110211222220020221111020
41331030312323000020
54200304430431130
6141431411232440
712466246326336
oct1751466730010
9424886227436
10134433452040
11520161a7288
12220795a8720
13c8a554ab34
146714210b56
15376c1a8e10
hex1f4cdbb008

134433452040 has 128 divisors (see below), whose sum is σ = 427437025920. Its totient is φ = 33707520000.

The previous prime is 134433452029. The next prime is 134433452047. The reversal of 134433452040 is 40254334431.

It is a junction number, because it is equal to n+sod(n) for n = 134433451992 and 134433452010.

It is not an unprimeable number, because it can be changed into a prime (134433452047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2112690 + ... + 2175390.

It is an arithmetic number, because the mean of its divisors is an integer number (3339351765).

Almost surely, 2134433452040 is an apocalyptic number.

134433452040 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 134433452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213718512960).

134433452040 is an abundant number, since it is smaller than the sum of its proper divisors (293003573880).

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

134433452040 is a wasteful number, since it uses less digits than its factorization.

134433452040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63783 (or 63779 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 134433452040 its reverse (40254334431), we get a palindrome (174687786471).

The spelling of 134433452040 in words is "one hundred thirty-four billion, four hundred thirty-three million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 1051 2040 2102 3153 4204 5255 6306 8408 10510 12612 15765 17867 21020 25224 31530 35734 42040 53601 62701 63060 71468 89335 107202 125402 126120 142936 178670 188103 214404 250804 268005 313505 357340 376206 428808 501608 536010 627010 714680 752412 940515 1065917 1072020 1254020 1504824 1881030 2131834 2144040 2508040 3197751 3762060 4263668 5329585 6395502 7524120 8527336 10659170 12791004 15988755 21318340 25582008 31977510 42636680 63955020 65898751 127910040 131797502 197696253 263595004 329493755 395392506 527190008 658987510 790785012 988481265 1120278767 1317975020 1581570024 1976962530 2240557534 2635950040 3360836301 3953925060 4481115068 5601393835 6721672602 7907850120 8962230136 11202787670 13443345204 16804181505 22405575340 26886690408 33608363010 44811150680 67216726020 134433452040