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146631440144 = 2471777012311
BaseRepresentation
bin1000100010001111101…
…0100011011100010000
3112000110222220221110102
42020203322203130100
54400300122041034
6151210032351532
713410443451020
oct2104372433420
9460428827412
10146631440144
1157205697292
12245026a55a8
1310a9a713c87
147150249a80
153c32ed797e
hex2223ea3710

146631440144 has 40 divisors (see below), whose sum is σ = 343782960768. Its totient is φ = 59145454080.

The previous prime is 146631440099. The next prime is 146631440233. The reversal of 146631440144 is 441044136641.

It is a junction number, because it is equal to n+sod(n) for n = 146631440098 and 146631440107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38504252 + ... + 38508059.

Almost surely, 2146631440144 is an apocalyptic number.

146631440144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

146631440144 is an abundant number, since it is smaller than the sum of its proper divisors (197151520624).

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

146631440144 is a wasteful number, since it uses less digits than its factorization.

146631440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77012343 (or 77012337 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 38.

Adding to 146631440144 its reverse (441044136641), we get a palindrome (587675576785).

The spelling of 146631440144 in words is "one hundred forty-six billion, six hundred thirty-one million, four hundred forty thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 476 952 1904 77012311 154024622 308049244 539086177 616098488 1078172354 1232196976 1309209287 2156344708 2618418574 4312689416 5236837148 8625378832 9164465009 10473674296 18328930018 20947348592 36657860036 73315720072 146631440144