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134430002000 = 2453719150273
BaseRepresentation
bin111110100110010100…
…1110000101101010000
3110211222122202122220222
41331030221300231100
54200303040031000
6141431205252212
712466205110040
oct1751451605520
9424878678828
10134430002000
1152014260208
1222078404068
13c8a49106a8
146713993720
15376bc26a85
hex1f4ca70b50

134430002000 has 160 divisors (see below), whose sum is σ = 373440098304. Its totient is φ = 45848064000.

The previous prime is 134430001999. The next prime is 134430002027. The reversal of 134430002000 is 200034431.

It is a self number, because there is not a number n which added to its sum of digits gives 134430002000.

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, 2648864 + ... + 2699136.

Almost surely, 2134430002000 is an apocalyptic number.

134430002000 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 134430002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186720049152).

134430002000 is an abundant number, since it is smaller than the sum of its proper divisors (239010096304).

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

134430002000 is a wasteful number, since it uses less digits than its factorization.

134430002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50494 (or 50478 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 134430002000 its reverse (200034431), we get a palindrome (134630036431).

The spelling of 134430002000 in words is "one hundred thirty-four billion, four hundred thirty million, two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 191 200 250 280 350 382 400 500 560 700 764 875 955 1000 1337 1400 1528 1750 1910 2000 2674 2800 3056 3500 3820 4775 5348 6685 7000 7640 9550 10696 13370 14000 15280 19100 21392 23875 26740 33425 38200 47750 50273 53480 66850 76400 95500 100546 106960 133700 167125 191000 201092 251365 267400 334250 351911 382000 402184 502730 534800 668500 703822 804368 1005460 1256825 1337000 1407644 1759555 2010920 2513650 2674000 2815288 3519110 4021840 5027300 5630576 6284125 7038220 8797775 9602143 10054600 12568250 14076440 17595550 19204286 20109200 25136500 28152880 35191100 38408572 43988875 48010715 50273000 67215001 70382200 76817144 87977750 96021430 100546000 134430002 140764400 153634288 175955500 192042860 240053575 268860004 336075005 351911000 384085720 480107150 537720008 672150010 703822000 768171440 960214300 1075440016 1200267875 1344300020 1680375025 1920428600 2400535750 2688600040 3360750050 3840857200 4801071500 5377200080 6721500100 8401875125 9602143000 13443000200 16803750250 19204286000 26886000400 33607500500 67215001000 134430002000