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146349031136 = 2571159394899
BaseRepresentation
bin1000100001001100010…
…1001111111011100000
3111222202022112002010112
42020103011033323200
54344210322444021
6151122023350452
713400444145110
oct2102305177340
9458668462115
10146349031136
1157080238210
1224443bb2428
1310a54064c59
147124935040
153c18300d5b
hex221314fee0

146349031136 has 48 divisors (see below), whose sum is σ = 359220355200. Its totient is φ = 57019102080.

The previous prime is 146349031117. The next prime is 146349031139. The reversal of 146349031136 is 631130943641.

It is a junction number, because it is equal to n+sod(n) for n = 146349031093 and 146349031102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146349031139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29694986 + ... + 29699913.

It is an arithmetic number, because the mean of its divisors is an integer number (7483757400).

Almost surely, 2146349031136 is an apocalyptic number.

146349031136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146349031136 is an abundant number, since it is smaller than the sum of its proper divisors (212871324064).

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

146349031136 is a wasteful number, since it uses less digits than its factorization.

146349031136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59394927 (or 59394919 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 41.

Adding to 146349031136 its reverse (631130943641), we get a palindrome (777479974777).

The spelling of 146349031136 in words is "one hundred forty-six billion, three hundred forty-nine million, thirty-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 59394899 118789798 237579596 415764293 475159192 653343889 831528586 950318384 1306687778 1663057172 1900636768 2613375556 3326114344 4573407223 5226751112 6652228688 9146814446 10453502224 13304457376 18293628892 20907004448 36587257784 73174515568 146349031136