Search a number
-
+
134444033440 = 2551947939227
BaseRepresentation
bin111110100110101111…
…1010010010110100000
3110212000122011112102221
41331031133102112200
54200320133032230
6141432430120424
712466435300033
oct1751537222640
9425018145387
10134444033440
1152021174242
1222081050114
13c8a77b4212
1467157a701a
15376d09927a
hex1f4d7d25a0

134444033440 has 96 divisors (see below), whose sum is σ = 334447081920. Its totient is φ = 50931062784.

The previous prime is 134444033419. The next prime is 134444033443. The reversal of 134444033440 is 44330444431.

It is a junction number, because it is equal to n+sod(n) for n = 134444033396 and 134444033405.

It is not an unprimeable number, because it can be changed into a prime (134444033443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14566107 + ... + 14575333.

It is an arithmetic number, because the mean of its divisors is an integer number (3483823770).

Almost surely, 2134444033440 is an apocalyptic number.

134444033440 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 134444033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167223540960).

134444033440 is an abundant number, since it is smaller than the sum of its proper divisors (200003048480).

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

134444033440 is a wasteful number, since it uses less digits than its factorization.

134444033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14054 (or 14046 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 134444033440 its reverse (44330444431), we get a palindrome (178774477871).

The spelling of 134444033440 in words is "one hundred thirty-four billion, four hundred forty-four million, thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1520 3040 4793 9227 9586 18454 19172 23965 36908 38344 46135 47930 73816 76688 91067 92270 95860 147632 153376 175313 182134 184540 191720 295264 350626 364268 369080 383440 455335 701252 728536 738160 766880 876565 910670 1402504 1457072 1476320 1753130 1821340 2805008 2914144 3506260 3642680 5610016 7012520 7285360 14025040 14570720 28050080 44225011 88450022 176900044 221125055 353800088 442250110 707600176 840275209 884500220 1415200352 1680550418 1769000440 3361100836 3538000880 4201376045 6722201672 7076001760 8402752090 13444403344 16805504180 26888806688 33611008360 67222016720 134444033440