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146433513156256 = 2519240844594007
BaseRepresentation
bin100001010010111000110101…
…100010001110111010100000
3201012110220111022021012020201
4201102320311202032322200
5123143131313332000011
61235234343253314544
742562320651603214
oct4122706542167240
9635426438235221
10146433513156256
1142727116732347
121450b967335a54
13639280c5685b1
1428235c410c944
1511de112101cc1
hex852e3588eea0

146433513156256 has 24 divisors (see below), whose sum is σ = 303464188450080. Its totient is φ = 69363243073728.

The previous prime is 146433513156247. The next prime is 146433513156257. The reversal of 146433513156256 is 652651315334641.

146433513156256 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146433513156197 and 146433513156206.

It is not an unprimeable number, because it can be changed into a prime (146433513156257) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 120422296396 + ... + 120422297611.

It is an arithmetic number, because the mean of its divisors is an integer number (12644341185420).

Almost surely, 2146433513156256 is an apocalyptic number.

146433513156256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146433513156256 is an abundant number, since it is smaller than the sum of its proper divisors (157030675293824).

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

146433513156256 is a wasteful number, since it uses less digits than its factorization.

146433513156256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240844594036 (or 240844594028 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 55.

The spelling of 146433513156256 in words is "one hundred forty-six trillion, four hundred thirty-three billion, five hundred thirteen million, one hundred fifty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 240844594007 481689188014 963378376028 1926756752056 3853513504112 4576047286133 7707027008224 9152094572266 18304189144532 36608378289064 73216756578128 146433513156256