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134241024040 = 2354324873727
BaseRepresentation
bin111110100000101100…
…0110111100000101000
3110211111111011120220021
41331001120313200220
54144411200232130
6141400335010224
712461421606634
oct1750130674050
9424444146807
10134241024040
1151a27616282
1222025069974
13c874715206
1466d683ddc4
15375a34837a
hex1f41637828

134241024040 has 96 divisors (see below), whose sum is σ = 309948007680. Its totient is φ = 52325917056.

The previous prime is 134241024037. The next prime is 134241024101. The reversal of 134241024040 is 40420142431.

It is a junction number, because it is equal to n+sod(n) for n = 134241023996 and 134241024014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36016657 + ... + 36020383.

It is an arithmetic number, because the mean of its divisors is an integer number (3228625080).

Almost surely, 2134241024040 is an apocalyptic number.

134241024040 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 134241024040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154974003840).

134241024040 is an abundant number, since it is smaller than the sum of its proper divisors (175706983640).

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

134241024040 is a wasteful number, since it uses less digits than its factorization.

134241024040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 134241024040 its reverse (40420142431), we get a palindrome (174661166471).

The spelling of 134241024040 in words is "one hundred thirty-four billion, two hundred forty-one million, twenty-four thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 487 860 974 1720 1849 1948 2435 3698 3727 3896 4870 7396 7454 9245 9740 14792 14908 18490 18635 19480 20941 29816 36980 37270 41882 73960 74540 83764 104705 149080 160261 167528 209410 320522 418820 641044 801305 837640 900463 1282088 1602610 1800926 1815049 3205220 3601852 3630098 4502315 6410440 6891223 7203704 7260196 9004630 9075245 13782446 14520392 18009260 18150490 27564892 34456115 36018520 36300980 55129784 68912230 72601960 78047107 137824460 156094214 275648920 312188428 390235535 624376856 780471070 1560942140 3121884280 3356025601 6712051202 13424102404 16780128005 26848204808 33560256010 67120512020 134241024040