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242464101464242 = 27319163114125351
BaseRepresentation
bin110111001000010100010010…
…101000110111100010110010
31011210111100020010012001211001
4313020110102220313202302
5223240012434433323432
62215402245343512214
7102033311315263000
oct6710242250674262
91153440203161731
10242464101464242
11702904a2283429
122323b200bb866a
13a53a360b11a28
1443c347a20ba70
151d070aaeed9e7
hexdc8512a378b2

242464101464242 has 64 divisors (see below), whose sum is σ = 449197385472000. Its totient is φ = 97840119056400.

The previous prime is 242464101464239. The next prime is 242464101464297.

242464101464242 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 242464101464192 and 242464101464201.

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, 54938134 + ... + 59187217.

It is an arithmetic number, because the mean of its divisors is an integer number (7018709148000).

Almost surely, 2242464101464242 is an apocalyptic number.

242464101464242 is a deficient number, since it is larger than the sum of its proper divisors (206733284007758).

242464101464242 is a wasteful number, since it uses less digits than its factorization.

242464101464242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114125556 (or 114125542 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 46.

The spelling of 242464101464242 in words is "two hundred forty-two trillion, four hundred sixty-four billion, one hundred one million, four hundred sixty-four thousand, two hundred forty-two".

Divisors: 1 2 7 14 19 38 49 98 133 163 266 326 343 686 931 1141 1862 2282 3097 6194 6517 7987 13034 15974 21679 43358 55909 111818 151753 303506 1062271 2124542 114125351 228250702 798877457 1597754914 2168381669 4336763338 5592142199 11184284398 15178671683 18602432213 30357343366 37204864426 39144995393 78289990786 106250701781 130217025491 212501403562 260434050982 353446212047 706892424094 743754912467 911519178437 1487509824934 1823038356874 2474123484329 4948246968658 6380634249059 12761268498118 17318864390303 34637728780606 121232050732121 242464101464242