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145630322712 = 23337563171077
BaseRepresentation
bin1000011110100000111…
…1100110000000011000
3111220220020010220112000
42013220033212000120
54341222330311322
6150522431121000
713343566214220
oct2075017460030
9456806126460
10145630322712
115684157aa06
1224283373160
131096b1a52b4
1470972cb080
153bc51853ac
hex21e83e6018

145630322712 has 128 divisors (see below), whose sum is σ = 463142361600. Its totient is φ = 41534515584.

The previous prime is 145630322711. The next prime is 145630322759. The reversal of 145630322712 is 217223036541.

145630322712 is a `hidden beast` number, since 1 + 4 + 5 + 630 + 3 + 2 + 2 + 7 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145630322711) 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, 765718 + ... + 936794.

It is an arithmetic number, because the mean of its divisors is an integer number (3618299700).

Almost surely, 2145630322712 is an apocalyptic number.

145630322712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145630322712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231571180800).

145630322712 is an abundant number, since it is smaller than the sum of its proper divisors (317512038888).

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

145630322712 is a wasteful number, since it uses less digits than its factorization.

145630322712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171662 (or 171652 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 145630322712 in words is "one hundred forty-five billion, six hundred thirty million, three hundred twenty-two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 563 756 1126 1512 1689 2252 3378 3941 4504 5067 6756 7882 10134 11823 13512 15201 15764 20268 23646 30402 31528 35469 40536 47292 60804 70938 94584 106407 121608 141876 171077 212814 283752 342154 425628 513231 684308 851256 1026462 1197539 1368616 1539693 2052924 2395078 3079386 3592617 4105848 4619079 4790156 6158772 7185234 9238158 9580312 10777851 12317544 14370468 18476316 21555702 28740936 32333553 36952632 43111404 64667106 86222808 96316351 129334212 192632702 258668424 288949053 385265404 577898106 674214457 770530808 866847159 1155796212 1348428914 1733694318 2022643371 2311592424 2600541477 2696857828 3467388636 4045286742 5201082954 5393715656 6067930113 6934777272 8090573484 10402165908 12135860226 16181146968 18203790339 20804331816 24271720452 36407580678 48543440904 72815161356 145630322712