Search a number
-
+
4431060654012 = 2233233157543253
BaseRepresentation
bin100000001111010111111…
…0010111101011110111100
3120200121100020100210002000
41000132233302331132330
51040044303011412022
613231333503502300
7635063546053536
oct100365762753674
916617306323060
104431060654012
111459225249063
125b69292b7990
13261b02484895
14114670766856
157a3de6906ac
hex407afcbd7bc

4431060654012 has 96 divisors (see below), whose sum is σ = 12374101340160. Its totient is φ = 1367227667520.

The previous prime is 4431060653953. The next prime is 4431060654023. The reversal of 4431060654012 is 2104560601344.

4431060654012 is a `hidden beast` number, since 4 + 4 + 3 + 1 + 0 + 606 + 5 + 40 + 1 + 2 = 666.

It is a super-2 number, since 2×44310606540122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28694623 + ... + 28848630.

It is an arithmetic number, because the mean of its divisors is an integer number (128896888960).

Almost surely, 24431060654012 is an apocalyptic number.

It is an amenable number.

4431060654012 is an abundant number, since it is smaller than the sum of its proper divisors (7943040686148).

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

4431060654012 is a wasteful number, since it uses less digits than its factorization.

4431060654012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57543320 (or 57543312 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 4431060654012 in words is "four trillion, four hundred thirty-one billion, sixty million, six hundred fifty-four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 31 36 46 54 62 69 92 93 108 124 138 186 207 276 279 372 414 558 621 713 828 837 1116 1242 1426 1674 2139 2484 2852 3348 4278 6417 8556 12834 19251 25668 38502 77004 57543253 115086506 172629759 230173012 345259518 517889277 690519036 1035778554 1323494819 1553667831 1783840843 2071557108 2646989638 3107335662 3567681686 3970484457 5293979276 5351522529 6214671324 7135363372 7940968914 10703045058 11911453371 15881937828 16054567587 21406090116 23822906742 32109135174 35734360113 41028339389 47645813484 48163702761 64218270348 71468720226 82056678778 96327405522 123085018167 142937440452 164113357556 192654811044 246170036334 369255054501 492340072668 738510109002 1107765163503 1477020218004 2215530327006 4431060654012