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42114140420 = 225116725111383
BaseRepresentation
bin100111001110001100…
…101100100100000100
311000201000011222221112
4213032030230210010
51142222204443140
631202540104152
73020425200332
oct471614544404
9130630158845
1042114140420
1116951375030
1281b3b35058
133c82081721
142077298b52
1511673e3c65
hex9ce32c904

42114140420 has 96 divisors (see below), whose sum is σ = 98318416896. Its totient is φ = 15024240000.

The previous prime is 42114140413. The next prime is 42114140423. The reversal of 42114140420 is 2404141124.

It is not an unprimeable number, because it can be changed into a prime (42114140423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3694049 + ... + 3705431.

It is an arithmetic number, because the mean of its divisors is an integer number (1024150176).

Almost surely, 242114140420 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 42114140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49159208448).

42114140420 is an abundant number, since it is smaller than the sum of its proper divisors (56204276476).

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

42114140420 is a wasteful number, since it uses less digits than its factorization.

42114140420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11721 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

Adding to 42114140420 its reverse (2404141124), we get a palindrome (44518281544).

The spelling of 42114140420 in words is "forty-two billion, one hundred fourteen million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 251 268 335 502 670 737 1004 1255 1340 1474 2510 2761 2948 3685 5020 5522 7370 11044 11383 13805 14740 16817 22766 27610 33634 45532 55220 56915 67268 84085 113830 125213 168170 184987 227660 250426 336340 369974 500852 626065 739948 762661 924935 1252130 1525322 1849870 2504260 2857133 3050644 3699740 3813305 5714266 7626610 8389271 11428532 14285665 15253220 16778542 28571330 31428463 33557084 41946355 57142660 62856926 83892710 125713852 157142315 167785420 191427911 314284630 382855822 628569260 765711644 957139555 1914279110 2105707021 3828558220 4211414042 8422828084 10528535105 21057070210 42114140420