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140136425104 = 241322323132
BaseRepresentation
bin1000001010000011001…
…0000010011010010000
3111101201100101222210211
42002200302002122100
54243444411100404
6144213333533504
713060465650064
oct2024062023220
9441640358724
10140136425104
11544823a4365
12231ab4a4294
13102a3c1a100
146ad57c1aa4
1539a2bbdb04
hex20a0c82690

140136425104 has 135 divisors (see below), whose sum is σ = 308330380827. Its totient is φ = 61668592128.

The previous prime is 140136425089. The next prime is 140136425123. The reversal of 140136425104 is 401524631041.

The square root of 140136425104 is 374348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 110854370704 + 29282054400 = 332948^2 + 171120^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 447720052 + ... + 447720364.

Almost surely, 2140136425104 is an apocalyptic number.

140136425104 is the 374348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140136425104

140136425104 is an abundant number, since it is smaller than the sum of its proper divisors (168193955723).

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

140136425104 is an equidigital number, since it uses as much as digits as its factorization.

140136425104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 140136425104 in words is "one hundred forty billion, one hundred thirty-six million, four hundred twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 46 52 92 104 169 184 208 299 313 338 368 529 598 626 676 1058 1196 1252 1352 2116 2392 2504 2704 3887 4069 4232 4784 5008 6877 7199 7774 8138 8464 13754 14398 15548 16276 27508 28796 31096 32552 52897 55016 57592 62192 65104 89401 93587 97969 105794 110032 115184 165577 178802 187174 195938 211588 331154 357604 374348 391876 423176 662308 715208 748696 783752 846352 1216631 1273597 1324616 1430416 1497392 1567504 2152501 2253287 2433262 2547194 2649232 4305002 4506574 4866524 5094388 8610004 9013148 9733048 10188776 16556761 17220008 18026296 19466096 20377552 27982513 29292731 33113522 34440016 36052592 51825601 55965026 58585462 66227044 103651202 111930052 117170924 132454088 207302404 223860104 234341848 264908176 380805503 414604808 447720208 468683696 673732813 761611006 829209616 1347465626 1523222012 2694931252 3046444024 5389862504 6092888048 8758526569 10779725008 17517053138 35034106276 70068212552 140136425104