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31143134000 = 2453112395923
BaseRepresentation
bin11101000000010001…
…101000001100110000
32222101102022010102102
4131000101220030300
51002240120242000
622150145235532
72151520162016
oct350021501460
988342263372
1031143134000
111223153a580
126051932ba8
132c24168c54
1417161b48b6
15c241803d5
hex740468330

31143134000 has 160 divisors (see below), whose sum is σ = 82507576320. Its totient is φ = 11275488000.

The previous prime is 31143133997. The next prime is 31143134053. The reversal of 31143134000 is 43134113.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 5255039 + ... + 5260961.

It is an arithmetic number, because the mean of its divisors is an integer number (515672352).

Almost surely, 231143134000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31143134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41253788160).

31143134000 is an abundant number, since it is smaller than the sum of its proper divisors (51364442320).

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

31143134000 is a wasteful number, since it uses less digits than its factorization.

31143134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196 (or 6180 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 31143134000 its reverse (43134113), we get a palindrome (31186268113).

The spelling of 31143134000 in words is "thirty-one billion, one hundred forty-three million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 239 250 275 400 440 478 500 550 880 956 1000 1100 1195 1375 1912 2000 2200 2390 2629 2750 3824 4400 4780 5258 5500 5923 5975 9560 10516 11000 11846 11950 13145 19120 21032 22000 23692 23900 26290 29615 29875 42064 47384 47800 52580 59230 59750 65153 65725 94768 95600 105160 118460 119500 130306 131450 148075 210320 236920 239000 260612 262900 296150 325765 328625 473840 478000 521224 525800 592300 651530 657250 740375 1042448 1051600 1184600 1303060 1314500 1415597 1480750 1628825 2369200 2606120 2629000 2831194 2961500 3257650 5212240 5258000 5662388 5923000 6515300 7077985 8144125 11324776 11846000 13030600 14155970 15571567 16288250 22649552 26061200 28311940 31143134 32576500 35389925 56623880 62286268 65153000 70779850 77857835 113247760 124572536 130306000 141559700 155715670 176949625 249145072 283119400 311431340 353899250 389289175 566238800 622862680 707798500 778578350 1245725360 1415597000 1557156700 1946445875 2831194000 3114313400 3892891750 6228626800 7785783500 15571567000 31143134000