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134233220304 = 24339714921499
BaseRepresentation
bin111110100000011101…
…1000110010011010000
3110211110221111010012000
41331000323012103100
54144402201022204
6141355455434000
712461265355341
oct1750073062320
9424427433160
10134233220304
1151a23176207
1222022525900
13c872c12211
1466d57ac0c8
153759806039
hex1f40ec64d0

134233220304 has 160 divisors (see below), whose sum is σ = 391902000000. Its totient is φ = 43983876096.

The previous prime is 134233220281. The next prime is 134233220321. The reversal of 134233220304 is 403022332431.

134233220304 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 332 + 20 + 304 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6232947 + ... + 6254445.

It is an arithmetic number, because the mean of its divisors is an integer number (2449387500).

Almost surely, 2134233220304 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 134233220304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195951000000).

134233220304 is an abundant number, since it is smaller than the sum of its proper divisors (257668779696).

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

134233220304 is a wasteful number, since it uses less digits than its factorization.

134233220304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21762 (or 21750 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 134233220304 its reverse (403022332431), we get a palindrome (537255552735).

The spelling of 134233220304 in words is "one hundred thirty-four billion, two hundred thirty-three million, two hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 97 108 144 149 194 216 291 298 388 432 447 582 596 776 873 894 1164 1192 1341 1552 1746 1788 2328 2384 2619 2682 3492 3576 4023 4656 5238 5364 6984 7152 8046 10476 10728 13968 14453 16092 20952 21456 21499 28906 32184 41904 42998 43359 57812 64368 64497 85996 86718 115624 128994 130077 171992 173436 193491 231248 257988 260154 343984 346872 386982 390231 515976 520308 580473 693744 773964 780462 1031952 1040616 1160946 1547928 1560924 2081232 2085403 2321892 3095856 3121848 3203351 4170806 4643784 6243696 6256209 6406702 8341612 9287568 9610053 12512418 12813404 16683224 18768627 19220106 25024836 25626808 28830159 33366448 37537254 38440212 50049672 51253616 56305881 57660318 75074508 76880424 86490477 100099344 112611762 115320636 150149016 153760848 172980954 225223524 230641272 300298032 310725047 345961908 450447048 461282544 621450094 691923816 900894096 932175141 1242900188 1383847632 1864350282 2485800376 2796525423 3728700564 4971600752 5593050846 7457401128 8389576269 11186101692 14914802256 16779152538 22372203384 33558305076 44744406768 67116610152 134233220304