Search a number
-
+
134515143400 = 235211219932789
BaseRepresentation
bin111110101000110111…
…0100011001011101000
3110212012120222021222011
41331101232203023220
54200441334042100
6141443450205304
712501260565511
oct1752156431350
9425176867864
10134515143400
1152058323200
12220a0a23834
13c8b9451011
146720dd7a08
153774443bba
hex1f51ba32e8

134515143400 has 144 divisors (see below), whose sum is σ = 344059814700. Its totient is φ = 48872524800.

The previous prime is 134515143397. The next prime is 134515143473. The reversal of 134515143400 is 4341515431.

It can be written as a sum of positive squares in 6 ways, for example, as 73117241604 + 61397901796 = 270402^2 + 247786^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 48229206 + ... + 48231994.

Almost surely, 2134515143400 is an apocalyptic number.

134515143400 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 134515143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172029907350).

134515143400 is an abundant number, since it is smaller than the sum of its proper divisors (209544671300).

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

134515143400 is a wasteful number, since it uses less digits than its factorization.

134515143400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4820 (or 4800 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 134515143400 its reverse (4341515431), we get a palindrome (138856658831).

The spelling of 134515143400 in words is "one hundred thirty-four billion, five hundred fifteen million, one hundred forty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 1993 2200 2420 2789 3025 3986 4840 5578 6050 7972 9965 11156 12100 13945 15944 19930 21923 22312 24200 27890 30679 39860 43846 49825 55780 61358 69725 79720 87692 99650 109615 111560 122716 139450 153395 175384 199300 219230 241153 245432 278900 306790 337469 398600 438460 482306 548075 557800 613580 674938 766975 876920 964612 1096150 1205765 1227160 1349876 1533950 1687345 1929224 2192300 2411530 2699752 3067900 3374690 4384600 4823060 5558477 6028825 6135800 6749380 8436725 9646120 11116954 12057650 13498760 16873450 22233908 24115300 27792385 33746900 44467816 48230600 55584770 61143247 67493800 111169540 122286494 138961925 222339080 244572988 277923850 305716235 489145976 555847700 611432470 672575717 1111695400 1222864940 1345151434 1528581175 2445729880 2690302868 3057162350 3362878585 5380605736 6114324700 6725757170 12228649400 13451514340 16814392925 26903028680 33628785850 67257571700 134515143400