Search a number
-
+
134630502240 = 25351321575401
BaseRepresentation
bin111110101100010011…
…0100110111101100000
3110212111122001010112210
41331120212212331200
54201210402032430
6141503130522120
712504161246613
oct1753046467540
9425448033483
10134630502240
1152107454a93
1222113596340
13c9073115a0
14673246617a
15377e62e2b0
hex1f589a6f60

134630502240 has 96 divisors (see below), whose sum is σ = 456708109536. Its totient is φ = 33139814400.

The previous prime is 134630502229. The next prime is 134630502257. The reversal of 134630502240 is 42205036431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 134630502198 and 134630502207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10781461 + ... + 10793940.

It is an arithmetic number, because the mean of its divisors is an integer number (4757376141).

Almost surely, 2134630502240 is an apocalyptic number.

134630502240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134630502240 is an abundant number, since it is smaller than the sum of its proper divisors (322077607296).

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

134630502240 is a wasteful number, since it uses less digits than its factorization.

134630502240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21575432 (or 21575424 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 134630502240 its reverse (42205036431), we get a palindrome (176835538671).

The spelling of 134630502240 in words is "one hundred thirty-four billion, six hundred thirty million, five hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 21575401 43150802 64726203 86301604 107877005 129452406 172603208 215754010 258904812 280480213 323631015 345206416 431508020 517809624 560960426 647262030 690412832 841440639 863016040 1035619248 1121920852 1294524060 1402401065 1682881278 1726032080 2071238496 2243841704 2589048120 2804802130 3365762556 3452064160 4207203195 4487683408 5178096240 5609604260 6731525112 8414406390 8975366816 10356192480 11219208520 13463050224 16828812780 22438417040 26926100448 33657625560 44876834080 67315251120 134630502240