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134044332341000 = 23533712132986661
BaseRepresentation
bin11110011110100110100000…
…110100000011011100001000
3122120121111211222211020210112
4132132212200310003130020
5120032140243034403000
61153031041031533452
740143245341330304
oct3636464064033410
9576544758736715
10134044332341000
113978a978094844
121304a83382a288
1359a4431b67053
142515acd210d04
151076c0255c235
hex79e9a0d03708

134044332341000 has 128 divisors (see below), whose sum is σ = 322406817838560. Its totient is φ = 52125579648000.

The previous prime is 134044332340999. The next prime is 134044332341069. The reversal of 134044332341000 is 143233440431.

It can be written as a sum of positive squares in 16 ways, for example, as 16720297190116 + 117324035150884 = 4089046^2 + 10831622^2 .

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, 43387670 + ... + 46374330.

Almost surely, 2134044332341000 is an apocalyptic number.

134044332341000 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 134044332341000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161203408919280).

134044332341000 is an abundant number, since it is smaller than the sum of its proper divisors (188362485497560).

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

134044332341000 is a wasteful number, since it uses less digits than its factorization.

134044332341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987932 (or 2987918 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 134044332341000 its reverse (143233440431), we get a palindrome (134187565781431).

The spelling of 134044332341000 in words is "one hundred thirty-four trillion, forty-four billion, three hundred thirty-two million, three hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 125 148 185 200 250 296 370 500 740 925 1000 1213 1480 1850 2426 3700 4625 4852 6065 7400 9250 9704 12130 18500 24260 30325 37000 44881 48520 60650 89762 121300 151625 179524 224405 242600 303250 359048 448810 606500 897620 1122025 1213000 1795240 2244050 2986661 4488100 5610125 5973322 8976200 11220250 11946644 14933305 22440500 23893288 29866610 44881000 59733220 74666525 110506457 119466440 149333050 221012914 298666100 373332625 442025828 552532285 597332200 746665250 884051656 1105064570 1493330500 2210129140 2762661425 2986661000 3622819793 4420258280 5525322850 7245639586 11050645700 13813307125 14491279172 18114098965 22101291400 27626614250 28982558344 36228197930 55253228500 72456395860 90570494825 110506457000 134044332341 144912791720 181140989650 268088664682 362281979300 452852474125 536177329364 670221661705 724563958600 905704948250 1072354658728 1340443323410 1811409896500 2680886646820 3351108308525 3622819793000 5361773293640 6702216617050 13404433234100 16755541542625 26808866468200 33511083085250 67022166170500 134044332341000