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142184222764983 = 3379411701146997
BaseRepresentation
bin100000010101000011011000…
…000101110010111110110111
3200122102200022221201111101000
4200111003120011302332313
5122114021242011434413
61222222310305134343
741643320405331330
oct4025033005627667
9618380287644330
10142184222764983
1141338a9901a023
1213b4430862a3b3
136144bb7705ac9
142717a78717287
15116881079c073
hex8150d8172fb7

142184222764983 has 64 divisors (see below), whose sum is σ = 241010315965440. Its totient is φ = 81155286979200.

The previous prime is 142184222764981. The next prime is 142184222765027. The reversal of 142184222764983 is 389467222481241.

142184222764983 is a `hidden beast` number, since 1 + 4 + 2 + 18 + 42 + 22 + 76 + 498 + 3 = 666.

It is not a de Polignac number, because 142184222764983 - 21 = 142184222764981 is a prime.

It is a super-3 number, since 3×1421842227649833 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 142184222764983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142184222764981) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3025365841 + ... + 3025412837.

It is an arithmetic number, because the mean of its divisors is an integer number (3765786186960).

Almost surely, 2142184222764983 is an apocalyptic number.

142184222764983 is a deficient number, since it is larger than the sum of its proper divisors (98826093200457).

142184222764983 is a wasteful number, since it uses less digits than its factorization.

142184222764983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64965 (or 64959 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 142184222764983 in words is "one hundred forty-two trillion, one hundred eighty-four billion, two hundred twenty-two million, seven hundred sixty-four thousand, nine hundred eighty-three".

Divisors: 1 3 7 9 21 27 63 189 941 2823 6587 8469 17011 19761 25407 46997 51033 59283 119077 140991 153099 177849 328979 357231 422973 459297 986937 1071693 1268919 2960811 3215079 8882433 16007351 44224177 48022053 112051457 132672531 144066159 309569239 336154371 398017593 432198477 799465967 928707717 1008463113 1194052779 2398397901 2786123151 3025389339 5596261769 7195193703 8358369453 16788785307 21585581109 50366355921 151099067763 752297474947 2256892424841 5266082324629 6770677274523 15798246973887 20312031823569 47394740921661 142184222764983