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4142402183205 = 32511135910910677
BaseRepresentation
bin111100010001111010011…
…010010010000000100101
3112200000021010112010112200
4330101322122102000211
51020332114424330310
612450554315005113
7605164405411026
oct74217232220045
915600233463480
104142402183205
111357868049590
1256a9aa139799
1324081c25bcc0
141046c99d8c4d
1572b47a349c0
hex3c47a692025

4142402183205 has 96 divisors (see below), whose sum is σ = 8578411470720. Its totient is φ = 1822519319040.

The previous prime is 4142402183201. The next prime is 4142402183243. The reversal of 4142402183205 is 5023812042414.

4142402183205 is a `hidden beast` number, since 4 + 1 + 42 + 402 + 1 + 8 + 3 + 205 = 666.

It is not a de Polignac number, because 4142402183205 - 22 = 4142402183201 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4142402183205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142402183201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5075674 + ... + 5835003.

It is an arithmetic number, because the mean of its divisors is an integer number (89358452820).

Almost surely, 24142402183205 is an apocalyptic number.

4142402183205 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4142402183205 is an abundant number, since it is smaller than the sum of its proper divisors (4436009287515).

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

4142402183205 is a wasteful number, since it uses less digits than its factorization.

4142402183205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10910771 (or 10910768 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 4142402183205 in words is "four trillion, one hundred forty-two billion, four hundred two million, one hundred eighty-three thousand, two hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 59 65 99 117 143 165 177 195 295 429 495 531 585 649 715 767 885 1287 1947 2145 2301 2655 3245 3835 5841 6435 6903 8437 9735 11505 25311 29205 34515 42185 75933 126555 379665 10910677 32732031 54553385 98196093 120017447 141838801 163660155 360052341 425516403 490980465 600087235 643729943 709194005 1080157023 1276549209 1560226811 1800261705 1931189829 2127582015 3218649715 4680680433 5400785115 5793569487 6382746045 7081029373 7801134055 8368489259 9655949145 14042041299 21243088119 23403402165 25105467777 28967847435 35405146865 41842446295 63729264357 70210206495 75316403331 92053381849 106215440595 125527338885 276160145547 318646321785 376582016655 460266909245 828480436641 1380800727735 4142402183205