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142120122140124 = 223326333431496717
BaseRepresentation
bin100000010100000111101011…
…011001010100010111011100
3200122012112212200002100211000
4200110013223121110113130
5122111444002231440444
61222133025514230300
741635561054113162
oct4024075331242734
9618175780070730
10142120122140124
114131389497a8a7
1213b339b9425390
13613bb4055519b
1427149173d9232
151166d0d049469
hex8141eb6545dc

142120122140124 has 96 divisors (see below), whose sum is σ = 369971447408640. Its totient is φ = 47179098592704.

The previous prime is 142120122140111. The next prime is 142120122140153. The reversal of 142120122140124 is 421041221021241.

142120122140124 is a `hidden beast` number, since 1 + 4 + 2 + 12 + 0 + 1 + 221 + 401 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 94206214 + ... + 95702930.

It is an arithmetic number, because the mean of its divisors is an integer number (3853869243840).

Almost surely, 2142120122140124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142120122140124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184985723704320).

142120122140124 is an abundant number, since it is smaller than the sum of its proper divisors (227851325268516).

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

142120122140124 is a wasteful number, since it uses less digits than its factorization.

142120122140124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500336 (or 1500328 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Adding to 142120122140124 its reverse (421041221021241), we get a palindrome (563161343161365).

The spelling of 142120122140124 in words is "one hundred forty-two trillion, one hundred twenty billion, one hundred twenty-two million, one hundred forty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 263 526 789 1052 1578 2367 3156 3343 4734 6686 7101 9468 10029 13372 14202 20058 28404 30087 40116 60174 90261 120348 180522 361044 879209 1496717 1758418 2637627 2993434 3516836 4490151 5275254 5986868 7912881 8980302 10550508 13470453 15825762 17960604 23738643 26940906 31651524 40411359 47477286 53881812 80822718 94954572 161645436 393636571 787273142 1180909713 1574546284 2361819426 3542729139 4723638852 5003524931 7085458278 10007049862 10628187417 14170916556 15010574793 20014099724 21256374834 30021149586 42512749668 45031724379 60042299172 90063448758 135095173137 180126897516 270190346274 540380692548 1315927056853 2631854113706 3947781170559 5263708227412 7895562341118 11843343511677 15791124682236 23686687023354 35530030535031 47373374046708 71060061070062 142120122140124