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134435254224 = 24319314755067
BaseRepresentation
bin111110100110011110…
…1110010111111010000
3110212000000122111121210
41331030331302333100
54200310411113344
6141431514020120
712466300543455
oct1751475627720
9425000574553
10134435254224
1152017218297
122207a117640
13c8a5a2c20b
14671455d82c
15376c412db9
hex1f4cf72fd0

134435254224 has 80 divisors (see below), whose sum is σ = 377362196480. Its totient is φ = 41083770240.

The previous prime is 134435254189. The next prime is 134435254237. The reversal of 134435254224 is 422452534431.

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 15 ways as a sum of consecutive naturals, for example, 2349262 + ... + 2405805.

It is an arithmetic number, because the mean of its divisors is an integer number (4717027456).

Almost surely, 2134435254224 is an apocalyptic number.

It is an amenable number.

134435254224 is an abundant number, since it is smaller than the sum of its proper divisors (242926942256).

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

134435254224 is a wasteful number, since it uses less digits than its factorization.

134435254224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4755128 (or 4755122 counting only the distinct ones).

The product of its digits is 460800, while the sum is 39.

Adding to 134435254224 its reverse (422452534431), we get a palindrome (556887788655).

The spelling of 134435254224 in words is "one hundred thirty-four billion, four hundred thirty-five million, two hundred fifty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2356 3534 4712 7068 9424 14136 28272 4755067 9510134 14265201 19020268 28530402 38040536 57060804 76081072 90346273 114121608 147407077 180692546 228243216 271038819 294814154 361385092 442221231 542077638 589628308 722770184 884442462 1084155276 1179256616 1445540368 1768884924 2168310552 2358513232 2800734463 3537769848 4336621104 5601468926 7075539696 8402203389 11202937852 16804406778 22405875704 33608813556 44811751408 67217627112 134435254224