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134454320214400 = 275286348687109
BaseRepresentation
bin11110100100100100010101…
…111111101011000110000000
3122122001201002202100011100101
4132210210111333223012000
5120110344421433330100
61153543243442532144
740215001252625614
oct3644442577530600
9578051082304311
10134454320214400
11399288365a926a
12130b6193967054
135a03cac808044
14252b8a3a9b344
1510826eac1a86a
hex7a4915feb180

134454320214400 has 96 divisors (see below), whose sum is σ = 332529066331200. Its totient is φ = 53719407482880.

The previous prime is 134454320214367. The next prime is 134454320214449. The reversal of 134454320214400 is 4412023454431.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 134454320214400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21581955 + ... + 27105154.

It is an arithmetic number, because the mean of its divisors is an integer number (3463844440950).

Almost surely, 2134454320214400 is an apocalyptic number.

134454320214400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134454320214400 is an abundant number, since it is smaller than the sum of its proper divisors (198074746116800).

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

134454320214400 is an equidigital number, since it uses as much as digits as its factorization.

134454320214400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48687996 (or 48687979 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 134454320214400 its reverse (4412023454431), we get a palindrome (138866343668831).

The spelling of 134454320214400 in words is "one hundred thirty-four trillion, four hundred fifty-four billion, three hundred twenty million, two hundred fourteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 320 400 640 800 863 1600 1726 3200 3452 4315 6904 8630 13808 17260 21575 27616 34520 43150 55232 69040 86300 110464 138080 172600 276160 345200 552320 690400 1380800 2761600 48687109 97374218 194748436 243435545 389496872 486871090 778993744 973742180 1217177725 1557987488 1947484360 2434355450 3115974976 3894968720 4868710900 6231949952 7789937440 9737421800 15579874880 19474843600 31159749760 38949687200 42016975067 77899374400 84033950134 155798748800 168067900268 210084875335 336135800536 420169750670 672271601072 840339501340 1050424376675 1344543202144 1680679002680 2100848753350 2689086404288 3361358005360 4201697506700 5378172808576 6722716010720 8403395013400 13445432021440 16806790026800 26890864042880 33613580053600 67227160107200 134454320214400