Search a number
-
+
16140413627760 = 2435219389306541
BaseRepresentation
bin1110101011011111101110…
…0111101110110101110000
32010011000020011210011002110
43222313323213232311300
54103421031342042020
654154445331245320
73254051332115562
oct352677347566560
963130204704073
1016140413627760
115163124793234
121988153a49840
1390105a980756
143db2b345b332
151cecb10a38e0
hexeadfb9eed70

16140413627760 has 80 divisors (see below), whose sum is σ = 50035673538720. Its totient is φ = 4304076641280.

The previous prime is 16140413627753. The next prime is 16140413627761. The reversal of 16140413627760 is 6772631404161.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16140413627761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52500090 + ... + 52806630.

It is an arithmetic number, because the mean of its divisors is an integer number (625445919234).

Almost surely, 216140413627760 is an apocalyptic number.

16140413627760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16140413627760 is an abundant number, since it is smaller than the sum of its proper divisors (33895259910960).

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

16140413627760 is a wasteful number, since it uses less digits than its factorization.

16140413627760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525946 (or 525940 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 16140413627760 in words is "sixteen trillion, one hundred forty billion, four hundred thirteen million, six hundred twenty-seven thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 219389 306541 438778 613082 658167 877556 919623 1096945 1226164 1316334 1532705 1755112 1839246 2193890 2452328 2632668 3065410 3290835 3510224 3678492 4387780 4598115 4904656 5265336 6130820 6581670 7356984 8775560 9196230 10530672 12261640 13163340 14713968 17551120 18392460 24523280 26326680 36784920 52653360 73569840 67251723449 134503446898 201755170347 269006893796 336258617245 403510340694 538013787592 672517234490 807020681388 1008775851735 1076027575184 1345034468980 1614041362776 2017551703470 2690068937960 3228082725552 4035103406940 5380137875920 8070206813880 16140413627760