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134314574432 = 25191818231483
BaseRepresentation
bin111110100010111000…
…1011100001001100000
3110211200121120100001212
41331011301130021200
54200034012340212
6141411523245252
712463304021363
oct1750561341140
9424617510055
10134314574432
1151a65091825
1222045819828
13c886a27a5c
1467025080da
153761a25e22
hex1f45c5c260

134314574432 has 96 divisors (see below), whose sum is σ = 280416165120. Its totient is φ = 63151695360.

The previous prime is 134314574431. The next prime is 134314574497. The reversal of 134314574432 is 234475413431.

It is a self number, because there is not a number n which added to its sum of digits gives 134314574432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134314574431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90568763 + ... + 90570245.

It is an arithmetic number, because the mean of its divisors is an integer number (2921001720).

Almost surely, 2134314574432 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 134314574432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140208082560).

134314574432 is an abundant number, since it is smaller than the sum of its proper divisors (146101590688).

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

134314574432 is a wasteful number, since it uses less digits than its factorization.

134314574432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2516 (or 2508 counting only the distinct ones).

The product of its digits is 483840, while the sum is 41.

Adding to 134314574432 its reverse (234475413431), we get a palindrome (368789987863).

The spelling of 134314574432 in words is "one hundred thirty-four billion, three hundred fourteen million, five hundred seventy-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 181 304 362 608 724 823 1448 1483 1646 2896 2966 3292 3439 5792 5932 6584 6878 11864 13168 13756 15637 23728 26336 27512 28177 31274 47456 55024 56354 62548 110048 112708 125096 148963 225416 250192 268423 297926 450832 500384 536846 595852 901664 1073692 1191704 1220509 2147384 2383408 2441018 2830297 4294768 4766816 4882036 5100037 5660594 8589536 9764072 10200074 11321188 19528144 20400148 22642376 23189671 39056288 40800296 45284752 46379342 81600592 90569504 92758684 163201184 185517368 220912129 371034736 441824258 742069472 883648516 1767297032 3534594064 4197330451 7069188128 8394660902 16789321804 33578643608 67157287216 134314574432