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42541055242420 = 22571739043457813
BaseRepresentation
bin10011010110000110111000…
…11111000111000010110100
312120121212220021122222111011
421223003130133013002310
521033443040120224140
6230251031352522004
711650330002163450
oct1153033437070264
9176555807588434
1042541055242420
1112611618706669
1249308a93b0304
131a977b183b947
14a70dd8967660
154db8ccca8cea
hex26b0dc7c70b4

42541055242420 has 96 divisors (see below), whose sum is σ = 108107333607168. Its totient is φ = 13727152207872.

The previous prime is 42541055242417. The next prime is 42541055242423. The reversal of 42541055242420 is 2424255014524.

42541055242420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42541055242417) and next prime (42541055242423).

It is a super-2 number, since 2×425410552424202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42541055242423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92693434 + ... + 93151246.

It is an arithmetic number, because the mean of its divisors is an integer number (1126118058408).

Almost surely, 242541055242420 is an apocalyptic number.

It is an amenable number.

42541055242420 is an abundant number, since it is smaller than the sum of its proper divisors (65566278364748).

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

42541055242420 is a wasteful number, since it uses less digits than its factorization.

42541055242420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496889 (or 496887 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 40.

The spelling of 42541055242420 in words is "forty-two trillion, five hundred forty-one billion, fifty-five million, two hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 39043 78086 156172 195215 273301 390430 457813 546602 663731 780860 915626 1093204 1327462 1366505 1831252 2289065 2654924 2733010 3204691 3318655 4578130 4646117 5466020 6409382 6637310 7782821 9156260 9292234 12818764 13274620 15565642 16023455 18584468 23230585 31131284 32046910 38914105 46461170 54479747 64093820 77828210 92922340 108959494 155656420 217918988 272398735 544797470 1089594940 17874392959 35748785918 71497571836 89371964795 125120750713 178743929590 250241501426 303864680303 357487859180 500483002852 607729360606 625603753565 1215458721212 1251207507130 1519323401515 2127052762121 2502415014260 3038646803030 4254105524242 6077293606060 8508211048484 10635263810605 21270527621210 42541055242420