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242005562041112 = 231729372575964381
BaseRepresentation
bin110111000001101001001111…
…100011110010001100011000
31011201212111122201100212212122
4313001221033203302030120
5223210004342340303422
62214411453112400412
7101655216300425612
oct6701511743621430
91151774581325778
10242005562041112
1170123a89777aa1
12231863710a6108
13a50604651469c
1443a91bb555db2
151cea1c0210d42
hexdc1a4f8f2318

242005562041112 has 128 divisors (see below), whose sum is σ = 510480242496000. Its totient is φ = 106980252180480.

The previous prime is 242005562041099. The next prime is 242005562041123. The reversal of 242005562041112 is 211140265500242.

It is a congruent number.

It is an unprimeable number.

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, 3758927162 + ... + 3758991542.

It is an arithmetic number, because the mean of its divisors is an integer number (3988126894500).

Almost surely, 2242005562041112 is an apocalyptic number.

It is an amenable number.

242005562041112 is an abundant number, since it is smaller than the sum of its proper divisors (268474680454888).

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

242005562041112 is a wasteful number, since it uses less digits than its factorization.

242005562041112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90229 (or 90225 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 242005562041112 in words is "two hundred forty-two trillion, five billion, five hundred sixty-two million, forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 17 29 34 37 58 68 74 116 136 148 232 296 493 629 986 1073 1258 1972 2146 2516 3944 4292 5032 8584 18241 25759 36482 51518 64381 72964 103036 128762 145928 206072 257524 437903 515048 747011 875806 953083 1094477 1494022 1751612 1867049 1906166 2188954 2382097 2988044 3503224 3734098 3812332 4377908 4764194 5976088 7468196 7624664 8755816 9528388 12699187 14936392 16202411 19056776 25398374 27639407 31739833 32404822 40495649 50796748 55278814 63479666 64809644 69080813 80991298 101593496 110557628 126959332 129619288 138161626 161982596 221115256 253918664 276323252 323965192 469869919 552646504 939739838 1174373821 1658390179 1879479676 2348747642 3316780358 3758959352 4697495284 6633560716 9394990568 13267121432 28192633043 48093315191 56385266086 61360436623 96186630382 112770532172 122720873246 192373260764 225541064344 245441746492 384746521528 490883492984 817586358247 1043127422591 1635172716494 1779452662067 2086254845182 3270345432988 3558905324134 4172509690364 6540690865976 7117810648268 8345019380728 14235621296536 30250695255139 60501390510278 121002781020556 242005562041112