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134253320432 = 24711314497829
BaseRepresentation
bin111110100001000011…
…1110001100011110000
3110211112100022022101012
41331002013301203300
54144422322223212
6141401454330052
712461631252320
oct1750207614360
9424470268335
10134253320432
1151a33554790
12220291b9928
13c87712c09a
1466d8321280
15375b476922
hex1f421f18f0

134253320432 has 160 divisors (see below), whose sum is σ = 335549952000. Its totient is φ = 50499993600.

The previous prime is 134253320423. The next prime is 134253320483. The reversal of 134253320432 is 234023352431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17144294 + ... + 17152122.

It is an arithmetic number, because the mean of its divisors is an integer number (2097187200).

Almost surely, 2134253320432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134253320432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167774976000).

134253320432 is an abundant number, since it is smaller than the sum of its proper divisors (201296631568).

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

134253320432 is a wasteful number, since it uses less digits than its factorization.

134253320432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8335 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

Adding to 134253320432 its reverse (234023352431), we get a palindrome (368276672863).

The spelling of 134253320432 in words is "one hundred thirty-four billion, two hundred fifty-three million, three hundred twenty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 112 124 154 176 217 248 308 341 434 449 496 616 682 868 898 1232 1364 1736 1796 2387 2728 3143 3472 3592 4774 4939 5456 6286 7184 7829 9548 9878 12572 13919 15658 19096 19756 25144 27838 31316 34573 38192 39512 50288 54803 55676 62632 69146 79024 86119 97433 109606 111352 125264 138292 153109 172238 194866 219212 222704 242699 276584 306218 344476 389732 438424 485398 553168 602833 612436 688952 779464 876848 970796 1071763 1205666 1224872 1377904 1558928 1698893 1941592 2143526 2411332 2449744 2669689 3397786 3515221 3883184 4287052 4822664 5339378 6795572 7030442 8574104 9645328 10678756 13591144 14060884 17148208 18687823 21357512 24606547 27182288 28121768 37375646 38667431 42715024 49213094 56243536 74751292 77334862 98426188 108971851 149502584 154669724 196852376 217943702 270672017 299005168 309339448 393704752 435887404 541344034 618678896 762802957 871774808 1082688068 1198690361 1525605914 1743549616 2165376136 2397380722 3051211828 4330752272 4794761444 6102423656 8390832527 9589522888 12204847312 16781665054 19179045776 33563330108 67126660216 134253320432