Search a number
-
+
342981453150 = 232527108883001
BaseRepresentation
bin1001111110110110100…
…10011010010101011110
31012210021222010002002100
410333123102122111132
521104411223000100
6421321414505530
733531254151360
oct4773322322536
91183258102070
10342981453150
111225040a8206
125657b9652a6
132645c7a081b
1412859688d30
158dc5cc4400
hex4fdb49a55e

342981453150 has 72 divisors (see below), whose sum is σ = 1053116395344. Its totient is φ = 78395760000.

The previous prime is 342981453137. The next prime is 342981453161. The reversal of 342981453150 is 51354189243.

342981453150 is a `hidden beast` number, since 3 + 4 + 298 + 1 + 45 + 315 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 342981453096 and 342981453105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54438351 + ... + 54444650.

It is an arithmetic number, because the mean of its divisors is an integer number (14626616602).

Almost surely, 2342981453150 is an apocalyptic number.

342981453150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

342981453150 is an abundant number, since it is smaller than the sum of its proper divisors (710134942194).

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

342981453150 is a wasteful number, since it uses less digits than its factorization.

342981453150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108883026 (or 108883018 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 342981453150 in words is "three hundred forty-two billion, nine hundred eighty-one million, four hundred fifty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 175 210 225 315 350 450 525 630 1050 1575 3150 108883001 217766002 326649003 544415005 653298006 762181007 979947009 1088830010 1524362014 1633245015 1959894018 2286543021 2722075025 3266490030 3810905035 4573086042 4899735045 5444150050 6859629063 7621810070 8166225075 9799470090 11432715105 13719258126 16332450150 19054525175 22865430210 24498675225 34298145315 38109050350 48997350450 57163575525 68596290630 114327151050 171490726575 342981453150