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242242146626436 = 223211770813793607
BaseRepresentation
bin110111000101000101100101…
…000110010110101110000100
31011202201010022201000001201200
4313011011211012112232010
5223222343404014021221
62215112301133222500
7102011263134265335
oct6705054506265604
91152633281001650
10242242146626436
1170205354592680
1223204198931a30
13a52244b123c88
1443b682238428c
151d0141a3bc426
hexdc5165196b84

242242146626436 has 72 divisors (see below), whose sum is σ = 668002779347904. Its totient is φ = 73406523368640.

The previous prime is 242242146626407. The next prime is 242242146626449. The reversal of 242242146626436 is 634626641242242.

242242146626436 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 4 + 2 + 1 + 4 + 6 + 626 + 4 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 304845145 + ... + 305638751.

It is an arithmetic number, because the mean of its divisors is an integer number (9277816379832).

Almost surely, 2242242146626436 is an apocalyptic number.

It is an amenable number.

242242146626436 is an abundant number, since it is smaller than the sum of its proper divisors (425760632721468).

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

242242146626436 is a wasteful number, since it uses less digits than its factorization.

242242146626436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564441 (or 1564436 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 54.

Adding to 242242146626436 its reverse (634626641242242), we get a palindrome (876868787868678).

The spelling of 242242146626436 in words is "two hundred forty-two trillion, two hundred forty-two billion, one hundred forty-six million, six hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 770813 793607 1541626 1587214 2312439 2380821 3083252 3174428 4624878 4761642 6937317 7142463 8478943 8729677 9249756 9523284 13874634 14284926 16957886 17459354 25436829 26189031 27749268 28569852 33915772 34918708 50873658 52378062 76310487 78567093 101747316 104756124 152620974 157134186 305241948 314268372 611722592491 1223445184982 1835167777473 2446890369964 3670335554946 5505503332419 6728948517401 7340671109892 11011006664838 13457897034802 20186845552203 22022013329676 26915794069604 40373691104406 60560536656609 80747382208812 121121073313218 242242146626436