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2142414444132 = 2233431373367369
BaseRepresentation
bin11111001011010001110…
…110100001011001100100
321120210221112202012102000
4133023101312201121210
5240100131044203012
64320113412445300
7310533012210054
oct37132166413144
97523845665360
102142414444132
117566581125a6
122a726a319830
1312704b3cb621
147599ca1b564
153aae0b79ddc
hex1f2d1da1664

2142414444132 has 96 divisors (see below), whose sum is σ = 5725067779200. Its totient is φ = 692438616576.

The previous prime is 2142414444109. The next prime is 2142414444143. The reversal of 2142414444132 is 2314444142412.

2142414444132 is a `hidden beast` number, since 2 + 1 + 42 + 4 + 144 + 441 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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, 1047457 + ... + 2319912.

It is an arithmetic number, because the mean of its divisors is an integer number (59636122700).

Almost surely, 22142414444132 is an apocalyptic number.

It is an amenable number.

2142414444132 is an abundant number, since it is smaller than the sum of its proper divisors (3582653335068).

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

2142414444132 is a wasteful number, since it uses less digits than its factorization.

2142414444132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367562 (or 3367554 counting only the distinct ones).

The product of its digits is 98304, while the sum is 36.

Adding to 2142414444132 its reverse (2314444142412), we get a palindrome (4456858586544).

The spelling of 2142414444132 in words is "two trillion, one hundred forty-two billion, four hundred fourteen million, four hundred forty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 137 172 258 274 387 411 516 548 774 822 1161 1233 1548 1644 2322 2466 3699 4644 4932 5891 7398 11782 14796 17673 23564 35346 53019 70692 106038 159057 212076 318114 636228 3367369 6734738 10102107 13469476 20204214 30306321 40408428 60612642 90918963 121225284 144796867 181837926 289593734 363675852 434390601 461329553 579187468 868781202 922659106 1303171803 1383988659 1737562404 1845318212 2606343606 2767977318 3909515409 4151965977 5212687212 5535954636 7819030818 8303931954 12455897931 15638061636 16607863908 19837170779 24911795862 39674341558 49823591724 59511512337 79348683116 119023024674 178534537011 238046049348 357069074022 535603611033 714138148044 1071207222066 2142414444132