Search a number
-
+
134413231000 = 2353298295591
BaseRepresentation
bin111110100101110100…
…1110010001110011000
3110211221111012121102211
41331023221302032120
54200234241343000
6141425410004504
712465612420016
oct1751351621630
9424844177384
10134413231000
1152005845984
1222072876734
13c8a12bac19
1467116698b6
15376a5127ba
hex1f4ba72398

134413231000 has 128 divisors (see below), whose sum is σ = 325823472000. Its totient is φ = 51839424000.

The previous prime is 134413230989. The next prime is 134413231021. The reversal of 134413231000 is 132314431.

It is a super-2 number, since 2×1344132310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24038205 + ... + 24043795.

It is an arithmetic number, because the mean of its divisors is an integer number (2545495875).

Almost surely, 2134413231000 is an apocalyptic number.

134413231000 is a gapful number since it is divisible by the number (10) 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 134413231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162911736000).

134413231000 is an abundant number, since it is smaller than the sum of its proper divisors (191410241000).

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

134413231000 is a wasteful number, since it uses less digits than its factorization.

134413231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6470 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 134413231000 its reverse (132314431), we get a palindrome (134545545431).

The spelling of 134413231000 in words is "one hundred thirty-four billion, four hundred thirteen million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 829 1000 1160 1450 1658 2900 3316 3625 4145 5591 5800 6632 7250 8290 11182 14500 16580 20725 22364 24041 27955 29000 33160 41450 44728 48082 55910 82900 96164 103625 111820 120205 139775 162139 165800 192328 207250 223640 240410 279550 324278 414500 480820 559100 601025 648556 698875 810695 829000 961640 1118200 1202050 1297112 1397750 1621390 2404100 2795500 3005125 3242780 4053475 4634939 4808200 5591000 6010250 6485560 8106950 9269878 12020500 16213900 18539756 20267375 23174695 24041000 32427800 37079512 40534750 46349390 81069500 92698780 115873475 134413231 162139000 185397560 231746950 268826462 463493900 537652924 579367375 672066155 926987800 1075305848 1158734750 1344132310 2317469500 2688264620 3360330775 4634939000 5376529240 6720661550 13441323100 16801653875 26882646200 33603307750 67206615500 134413231000