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140052004104 = 233311279147179
BaseRepresentation
bin1000001001101110111…
…1111111110100001000
3111101111110112221222010
42002123233333310020
54243311303112404
6144201120255520
713055422251525
oct2023357776410
9441443487863
10140052004104
1154439783641
12231871715a0
131028c59c65c
146ac84c814c
15399a595189
hex209bbffd08

140052004104 has 64 divisors (see below), whose sum is σ = 361709568000. Its totient is φ = 45142436160.

The previous prime is 140052004061. The next prime is 140052004123. The reversal of 140052004104 is 401400250041.

It is a happy number.

It is a super-3 number, since 3×1400520041043 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 877987 + ... + 1025165.

It is an arithmetic number, because the mean of its divisors is an integer number (5651712000).

Almost surely, 2140052004104 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 140052004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180854784000).

140052004104 is an abundant number, since it is smaller than the sum of its proper divisors (221657563896).

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

140052004104 is a wasteful number, since it uses less digits than its factorization.

140052004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148498 (or 148494 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 140052004104 its reverse (401400250041), we get a palindrome (541452254145).

The spelling of 140052004104 in words is "one hundred forty billion, fifty-two million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 1279 2558 3837 5116 7674 10232 15348 30696 39649 79298 118947 147179 158596 237894 294358 317192 441537 475788 588716 883074 951576 1177432 1766148 3532296 4562549 9125098 13687647 18250196 27375294 36500392 54750588 109501176 188241941 376483882 564725823 752967764 1129451646 1505935528 2258903292 4517806584 5835500171 11671000342 17506500513 23342000684 35013001026 46684001368 70026002052 140052004104