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134233165040 = 24513731919257
BaseRepresentation
bin111110100000011101…
…0111000110011110000
3110211110221101022101012
41331000322320303300
54144402142240130
6141355454330052
712461265035252
oct1750072706360
9424427338335
10134233165040
1151a23138737
12220224b9928
13c872bc3010
1466d5795cd2
1537597e4995
hex1f40eb8cf0

134233165040 has 160 divisors (see below), whose sum is σ = 342524077056. Its totient is φ = 48622878720.

The previous prime is 134233165013. The next prime is 134233165063. The reversal of 134233165040 is 40561332431.

It is a junction number, because it is equal to n+sod(n) for n = 134233164988 and 134233165006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14496092 + ... + 14505348.

Almost surely, 2134233165040 is an apocalyptic number.

134233165040 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 134233165040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171262038528).

134233165040 is an abundant number, since it is smaller than the sum of its proper divisors (208290912016).

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

134233165040 is a wasteful number, since it uses less digits than its factorization.

134233165040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9547 (or 9541 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

Adding to 134233165040 its reverse (40561332431), we get a palindrome (174794497471).

The spelling of 134233165040 in words is "one hundred thirty-four billion, two hundred thirty-three million, one hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 73 80 104 130 146 191 208 260 292 365 382 520 584 730 764 949 955 1040 1168 1460 1528 1898 1910 2483 2920 3056 3796 3820 4745 4966 5840 7592 7640 9257 9490 9932 12415 13943 15184 15280 18514 18980 19864 24830 27886 37028 37960 39728 46285 49660 55772 69715 74056 75920 92570 99320 111544 120341 139430 148112 181259 185140 198640 223088 240682 278860 362518 370280 481364 557720 601705 675761 725036 740560 906295 962728 1115440 1203410 1351522 1450072 1768087 1812590 1925456 2406820 2703044 2900144 3378805 3536174 3625180 4813640 5406088 6757610 7072348 7250360 8784893 8840435 9627280 10812176 13515220 14144696 14500720 17569786 17680870 22985131 27030440 28289392 35139572 35361740 43924465 45970262 54060880 70279144 70723480 87848930 91940524 114925655 129070351 140558288 141446960 175697860 183881048 229851310 258140702 351395720 367762096 459702620 516281404 645351755 702791440 919405240 1032562808 1290703510 1677914563 1838810480 2065125616 2581407020 3355829126 5162814040 6711658252 8389572815 10325628080 13423316504 16779145630 26846633008 33558291260 67116582520 134233165040