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141002604512 = 25711457125219
BaseRepresentation
bin1000001101010001101…
…0001111111111100000
3111110221201021110120122
42003110122033333200
54302233131321022
6144435315055412
713121114235350
oct2032432177740
9443851243518
10141002604512
1154887326810
12233b15a1568
13103b15017c3
146b78856b60
153a03c69742
hex20d468ffe0

141002604512 has 96 divisors (see below), whose sum is σ = 346857396480. Its totient is φ = 54815431680.

The previous prime is 141002604493. The next prime is 141002604517. The reversal of 141002604512 is 215406200141.

141002604512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141002604517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063439 + ... + 1188657.

It is an arithmetic number, because the mean of its divisors is an integer number (3613097880).

Almost surely, 2141002604512 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 141002604512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173428698240).

141002604512 is an abundant number, since it is smaller than the sum of its proper divisors (205854791968).

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

141002604512 is a wasteful number, since it uses less digits than its factorization.

141002604512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125704 (or 125696 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 141002604512 its reverse (215406200141), we get a palindrome (356408804653).

The spelling of 141002604512 in words is "one hundred forty-one billion, two million, six hundred four thousand, five hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 457 616 914 1232 1828 2464 3199 3656 5027 6398 7312 10054 12796 14624 20108 25592 35189 40216 51184 70378 80432 102368 125219 140756 160864 250438 281512 500876 563024 876533 1001752 1126048 1377409 1753066 2003504 2754818 3506132 4007008 5509636 7012264 9641863 11019272 14024528 19283726 22038544 28049056 38567452 44077088 57225083 77134904 114450166 154269808 228900332 308539616 400575581 457800664 629475913 801151162 915601328 1258951826 1602302324 1831202656 2517903652 3204604648 4406331391 5035807304 6409209296 8812662782 10071614608 12818418592 17625325564 20143229216 35250651128 70501302256 141002604512