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2316142000416 = 2531491279126601
BaseRepresentation
bin100001101101000100110…
…100100011100100100000
322012102100220210110110110
4201231010310203210200
5300421424323003131
64532004305131320
7326223105112206
oct41550464434440
98172326713413
102316142000416
118132a78609a2
12314a73329b40
1313a5466a6bca
148015d769076
15403ac881646
hex21b44d23920

2316142000416 has 96 divisors (see below), whose sum is σ = 6125511168000. Its totient is φ = 766260172800.

The previous prime is 2316142000409. The next prime is 2316142000427. The reversal of 2316142000416 is 6140002416132.

It is a tau number, because it is divible by the number of its divisors (96).

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, 18231516 + ... + 18358116.

It is an arithmetic number, because the mean of its divisors is an integer number (63807408000).

Almost surely, 22316142000416 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 2316142000416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062755584000).

2316142000416 is an abundant number, since it is smaller than the sum of its proper divisors (3809369167584).

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

2316142000416 is a wasteful number, since it uses less digits than its factorization.

2316142000416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128042 (or 128034 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 2316142000416 its reverse (6140002416132), we get a palindrome (8456144416548).

The spelling of 2316142000416 in words is "two trillion, three hundred sixteen billion, one hundred forty-two million, four hundred sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 149 298 447 596 894 1192 1279 1788 2384 2558 3576 3837 4768 5116 7152 7674 10232 14304 15348 20464 30696 40928 61392 122784 126601 190571 253202 379803 381142 506404 571713 759606 762284 1012808 1143426 1519212 1524568 2025616 2286852 3038424 3049136 4051232 4573704 6076848 6098272 9147408 12153696 18294816 18863549 37727098 56590647 75454196 113181294 150908392 161922679 226362588 301816784 323845358 452725176 485768037 603633568 647690716 905450352 971536074 1295381432 1810900704 1943072148 2590762864 3886144296 5181525728 7772288592 15544577184 24126479171 48252958342 72379437513 96505916684 144758875026 193011833368 289517750052 386023666736 579035500104 772047333472 1158071000208 2316142000416