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142424031414264 = 233107490691130267
BaseRepresentation
bin100000011000100010101101…
…110011001100011111111000
3200200021121022122000002112020
4200120202231303030133320
5122131433404020224024
61222524410300514440
741666540161244325
oct4030425563143770
9620247278002466
10142424031414264
1141420768823676
1213b82893b4ba20
1361616b425b052
1427255077d5b4c
15116eb98a0b979
hex8188adccc7f8

142424031414264 has 64 divisors (see below), whose sum is σ = 359395384924800. Its totient is φ = 47029988490624.

The previous prime is 142424031414211. The next prime is 142424031414377. The reversal of 142424031414264 is 462414130424241.

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 15 ways as a sum of consecutive naturals, for example, 125444059 + ... + 126574325.

It is an arithmetic number, because the mean of its divisors is an integer number (5615552889450).

Almost surely, 2142424031414264 is an apocalyptic number.

It is an amenable number.

142424031414264 is an abundant number, since it is smaller than the sum of its proper divisors (216971353510536).

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

142424031414264 is a wasteful number, since it uses less digits than its factorization.

142424031414264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179452 (or 1179448 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 142424031414264 in words is "one hundred forty-two trillion, four hundred twenty-four billion, thirty-one million, four hundred fourteen thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 107 214 321 428 642 856 1284 2568 49069 98138 147207 196276 294414 392552 588828 1130267 1177656 2260534 3390801 4521068 5250383 6781602 9042136 10500766 13563204 15751149 21001532 27126408 31502298 42003064 63004596 120938569 126009192 241877138 362815707 483754276 725631414 967508552 1451262828 2902525656 55461071423 110922142846 166383214269 221844285692 332766428538 443688571384 665532857076 1331065714152 5934334642261 11868669284522 17803003926783 23737338569044 35606007853566 47474677138088 71212015707132 142424031414264