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134455402004 = 2272111011374507
BaseRepresentation
bin111110100111000101…
…0101001111000010100
3110212001102120010011212
41331032022221320110
54200331040331004
6141433513520552
712466634026400
oct1751612517024
9425042503155
10134455402004
1152027629650
1222084a13158
13c8a9c64991
1467170c6100
15376e09296e
hex1f4e2a9e14

134455402004 has 144 divisors (see below), whose sum is σ = 303820663104. Its totient is φ = 51476544000.

The previous prime is 134455401991. The next prime is 134455402093. The reversal of 134455402004 is 400204554431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29830319 + ... + 29834825.

It is an arithmetic number, because the mean of its divisors is an integer number (2109865716).

Almost surely, 2134455402004 is an apocalyptic number.

134455402004 is a gapful number since it is divisible by the number (14) 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 134455402004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151910331552).

134455402004 is an abundant number, since it is smaller than the sum of its proper divisors (169365261100).

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

134455402004 is a wasteful number, since it uses less digits than its factorization.

134455402004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4765 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 32.

Adding to 134455402004 its reverse (400204554431), we get a palindrome (534659956435).

The spelling of 134455402004 in words is "one hundred thirty-four billion, four hundred fifty-five million, four hundred two thousand, four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 101 137 154 196 202 274 308 404 539 548 707 959 1078 1111 1414 1507 1918 2156 2222 2828 3014 3836 4444 4507 4949 6028 6713 7777 9014 9898 10549 13426 13837 15554 18028 19796 21098 26852 27674 31108 31549 42196 49577 54439 55348 63098 73843 96859 99154 108878 126196 147686 152207 193718 198308 217756 220843 295372 304414 347039 387436 441686 455207 608828 617459 678013 694078 883372 910414 1065449 1234918 1356026 1388156 1820828 2130898 2429273 2469836 2712052 3186449 4261796 4322213 4858546 5007277 6372898 6792049 7458143 8644426 9717092 10014554 12745796 13584098 14916286 17288852 20029108 22305143 27168196 29832572 30255491 35050939 44610286 47544343 60510982 62363359 70101878 89220572 95088686 121021964 124726718 140203756 190177372 245356573 249453436 332810401 436543513 490713146 665620802 685996949 873087026 981426292 1331241604 1371993898 1746174052 2743987796 3055804591 4801978643 6111609182 9603957286 12223218364 19207914572 33613850501 67227701002 134455402004