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134412001344 = 26358642747
BaseRepresentation
bin111110100101110010…
…1000110000001000000
3110211221101220010200000
41331023211012001000
54200233433020334
6141425323400000
712465566106015
oct1751345060100
9424841803600
10134412001344
1152005086035
1222072383000
13c8a0c7a30a
14671142970c
15376a36d299
hex1f4b946040

134412001344 has 84 divisors (see below), whose sum is σ = 399536954544. Its totient is φ = 44803995264.

The previous prime is 134412001327. The next prime is 134412001379. The reversal of 134412001344 is 443100214431.

134412001344 is a `hidden beast` number, since 1 + 3 + 441 + 200 + 13 + 4 + 4 = 666.

It is a super-2 number, since 2×1344120013442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4305822 + ... + 4336925.

It is an arithmetic number, because the mean of its divisors is an integer number (4756392316).

Almost surely, 2134412001344 is an apocalyptic number.

It is an amenable number.

134412001344 is an abundant number, since it is smaller than the sum of its proper divisors (265124953200).

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

134412001344 is an frugal number, since it uses more digits than its factorization.

134412001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8642774 (or 8642752 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 134412001344 its reverse (443100214431), we get a palindrome (577512215775).

The spelling of 134412001344 in words is "one hundred thirty-four billion, four hundred twelve million, one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 8642747 17285494 25928241 34570988 51856482 69141976 77784723 103712964 138283952 155569446 207425928 233354169 276567904 311138892 414851856 466708338 553135808 622277784 700062507 829703712 933416676 1244555568 1400125014 1659407424 1866833352 2100187521 2489111136 2800250028 3733666704 4200375042 4978222272 5600500056 7467333408 8400750084 11201000112 14934666816 16801500168 22402000224 33603000336 44804000448 67206000672 134412001344