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331144004000004 = 223136779113441797
BaseRepresentation
bin100101101001011000111100…
…0101110100101100100000100
31121102111001112222222220222220
41023102301320232211210010
5321400430410011000004
63132141242203252340
7126515236055551116
oct11322617056454404
91542431488886886
10331144004000004
1196570424396018
1231181b14b1a0b0
13112a0990093b50
145bab65352d3b6
152843c37385dd9
hex12d2c78ba5904

331144004000004 has 96 divisors (see below), whose sum is σ = 834249542386176. Its totient is φ = 101628250913280.

The previous prime is 331144004000003. The next prime is 331144004000123. The reversal of 331144004000004 is 400000400441133.

It is not an unprimeable number, because it can be changed into a prime (331144004000003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94491634 + ... + 97933430.

It is an arithmetic number, because the mean of its divisors is an integer number (8690099399856).

Almost surely, 2331144004000004 is an apocalyptic number.

It is an amenable number.

331144004000004 is an abundant number, since it is smaller than the sum of its proper divisors (503105538386172).

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

331144004000004 is a wasteful number, since it uses less digits than its factorization.

331144004000004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3443405 (or 3443403 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 331144004000004 its reverse (400000400441133), we get a palindrome (731144404441137).

The spelling of 331144004000004 in words is "three hundred thirty-one trillion, one hundred forty-four billion, four million, four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 677 911 1354 1822 2031 2708 2733 3644 4062 5466 8124 8801 10932 11843 17602 23686 26403 35204 35529 47372 52806 71058 105612 142116 616747 1233494 1850241 2466988 3441797 3700482 6883594 7400964 8017711 10325391 13767188 16035422 20650782 24053133 32070844 41301564 44743361 48106266 89486722 96212532 134230083 178973444 268460166 536920332 2330096569 3135477067 4660193138 6270954134 6990289707 9320386276 9406431201 12541908268 13980579414 18812862402 27961158828 30291255397 37625724804 40761201871 60582510794 81522403742 90873766191 121165021588 122283605613 163044807484 181747532382 244567211226 363495064764 489134422452 2122717974359 4245435948718 6368153923077 8490871897436 12736307846154 25472615692308 27595333666667 55190667333334 82786001000001 110381334666668 165572002000002 331144004000004