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142006126592 = 2111127572
BaseRepresentation
bin1000010001000000111…
…0011000100000000000
3111120112122120200002002
42010100032120200000
54311312032022332
6145123044043132
713155021105611
oct2042016304000
9446478520062
10142006126592
1155251835800
12236316934a8
13105113a2b55
146c31c3dc08
153a61de4562
hex2110398800

142006126592 has 108 divisors (see below), whose sum is σ = 312515375445. Its totient is φ = 64462970880.

The previous prime is 142006126547. The next prime is 142006126627. The reversal of 142006126592 is 295621600241.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

142006126592 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 140007678976 + 1998447616 = 374176^2 + 44704^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=266464.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 187590278 + ... + 187591034.

Almost surely, 2142006126592 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 142006126592

142006126592 is an abundant number, since it is smaller than the sum of its proper divisors (170509248853).

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

142006126592 is an frugal number, since it uses more digits than its factorization.

142006126592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1558 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 38.

The spelling of 142006126592 in words is "one hundred forty-two billion, six million, one hundred twenty-six thousand, five hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 512 704 757 968 1024 1408 1514 1936 2048 2816 3028 3872 5632 6056 7744 8327 11264 12112 15488 16654 22528 24224 30976 33308 48448 61952 66616 91597 96896 123904 133232 183194 193792 247808 266464 366388 387584 532928 573049 732776 775168 1065856 1146098 1465552 1550336 2131712 2292196 2931104 4263424 4584392 5862208 6303539 8526848 9168784 11724416 12607078 17053696 18337568 23448832 25214156 36675136 46897664 50428312 69338929 73350272 93795328 100856624 138677858 146700544 187590656 201713248 277355716 293401088 403426496 554711432 586802176 806852992 1109422864 1173604352 1613705984 2218845728 3227411968 4437691456 6454823936 8875382912 12909647872 17750765824 35501531648 71003063296 142006126592