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242413840035472 = 247411491791979321
BaseRepresentation
bin110111000111100101011110…
…110100101110111010010000
31011210022112111022102221100011
4313013211132310232322100
5223233202021022113342
62215323214123004304
7102026551640215150
oct6707453664567220
91153275438387304
10242413840035472
117027114aa91046
1223231514669694
13a5356b0b5a631
1443c0c6cca8760
151d05b18718717
hexdc795ed2ee90

242413840035472 has 160 divisors (see below), whose sum is σ = 556648684704000. Its totient is φ = 100114955673600.

The previous prime is 242413840035469. The next prime is 242413840035503. The reversal of 242413840035472 is 274530048314242.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121483572 + ... + 123462892.

It is an arithmetic number, because the mean of its divisors is an integer number (3479054279400).

Almost surely, 2242413840035472 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 242413840035472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278324342352000).

242413840035472 is an abundant number, since it is smaller than the sum of its proper divisors (314234844668528).

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

242413840035472 is a wasteful number, since it uses less digits than its factorization.

242413840035472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979705 (or 1979699 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 49.

The spelling of 242413840035472 in words is "two hundred forty-two trillion, four hundred thirteen billion, eight hundred forty million, thirty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 149 164 179 287 298 328 358 574 596 656 716 1043 1148 1192 1253 1432 2086 2296 2384 2506 2864 4172 4592 5012 6109 7339 8344 10024 12218 14678 16688 20048 24436 26671 29356 42763 48872 51373 53342 58712 85526 97744 102746 106684 117424 171052 186697 205492 213368 342104 373394 410984 426736 684208 746788 821968 1093511 1493576 1979321 2187022 2987152 3958642 4374044 7654577 7917284 8748088 13855247 15309154 15834568 17496176 27710494 30618308 31669136 55420988 61236616 81152161 110841976 122473232 162304322 221683952 294918829 324608644 354298459 568065127 589837658 649217288 708596918 1136130254 1179675316 1298434576 1417193836 2064431803 2272260508 2359350632 2480089213 2834387672 4128863606 4544521016 4718701264 4960178426 5668775344 8257727212 9089042032 9920356852 12091671989 14526236819 16515454424 19840713704 24183343978 29052473638 33030908848 39681427408 48366687956 52790470391 58104947276 84641703923 96733375912 101683657733 105580940782 116209894552 169283407846 193466751824 203367315466 211161881564 232419789104 338566815692 369533292737 406734630932 422323763128 677133631384 739066585474 813469261864 844647526256 1354267262768 1478133170948 1626938523728 2164409286031 2956266341896 4328818572062 5912532683792 8657637144124 15150865002217 17315274288248 30301730004434 34630548576496 60603460008868 121206920017736 242413840035472