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10314543540 = 2235791926723
BaseRepresentation
bin10011001101100101…
…10111000110110100
3222121211122002202010
421212302313012310
5132111010343130
64423300244220
7513414113340
oct114662670664
928554562663
1010314543540
114413322254
121bba3a0670
13c84c0ac02
146dbc40620
154057e10b0
hex266cb71b4

10314543540 has 96 divisors (see below), whose sum is σ = 33043691520. Its totient is φ = 2354956416.

The previous prime is 10314543529. The next prime is 10314543557. The reversal of 10314543540 is 4534541301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10314543498 and 10314543507.

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, 372619 + ... + 399341.

It is an arithmetic number, because the mean of its divisors is an integer number (344205120).

Almost surely, 210314543540 is an apocalyptic number.

10314543540 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 10314543540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16521845760).

10314543540 is an abundant number, since it is smaller than the sum of its proper divisors (22729147980).

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

10314543540 is a wasteful number, since it uses less digits than its factorization.

10314543540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27661 (or 27659 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 10314543540 in words is "ten billion, three hundred fourteen million, five hundred forty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 919 1838 2757 3676 4595 5514 6433 9190 11028 12866 13785 18380 19299 25732 26723 27570 32165 38598 53446 55140 64330 77196 80169 96495 106892 128660 133615 160338 187061 192990 267230 320676 374122 385980 400845 534460 561183 748244 801690 935305 1122366 1603380 1870610 2244732 2805915 3741220 5611830 11223660 24558437 49116874 73675311 98233748 122792185 147350622 171909059 245584370 294701244 343818118 368376555 491168740 515727177 687636236 736753110 859545295 1031454354 1473506220 1719090590 2062908708 2578635885 3438181180 5157271770 10314543540