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330042402224 = 243161971071051
BaseRepresentation
bin1001100110110000000…
…11110110010110110000
31011112220020000012000222
410303120003312112300
520401411323332344
6411341442032212
732562521063003
oct4633003662660
91145806005028
10330042402224
11117a74371797
1253b6a648668
1325179c1ba82
1411d8d06753a
1588b9db15ee
hex4cd80f65b0

330042402224 has 160 divisors (see below), whose sum is σ = 684808169472. Its totient is φ = 153861120000.

The previous prime is 330042402161. The next prime is 330042402227. The reversal of 330042402224 is 422204240033.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 330042402193 and 330042402202.

It is not an unprimeable number, because it can be changed into a prime (330042402227) 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, 314026499 + ... + 314027549.

Almost surely, 2330042402224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 330042402224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342404084736).

330042402224 is an abundant number, since it is smaller than the sum of its proper divisors (354765767248).

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

330042402224 is a wasteful number, since it uses less digits than its factorization.

330042402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355 (or 1349 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

Adding to 330042402224 its reverse (422204240033), we get a palindrome (752246642257).

The spelling of 330042402224 in words is "three hundred thirty billion, forty-two million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 61 62 97 107 122 124 194 214 244 248 388 428 488 496 776 856 976 1051 1552 1712 1891 2102 3007 3317 3782 4204 5917 6014 6527 6634 7564 8408 10379 11834 12028 13054 13268 15128 16816 20758 23668 24056 26108 26536 30256 32581 41516 47336 48112 52216 53072 64111 65162 83032 94672 101947 104432 112457 128222 130324 166064 183427 202337 203894 224914 256444 260648 321749 366854 404674 407788 449828 512888 521296 633119 643498 733708 809348 815576 899656 1025776 1266238 1286996 1467416 1618696 1631152 1799312 1987441 2532476 2573992 2934832 3160357 3237392 3486167 3974882 5064952 5147984 6218767 6320714 6859877 6972334 7949764 10129904 10908329 12437534 12641428 13719754 13944668 15899528 19626689 21816658 24875068 25282856 27439508 27889336 31799056 39253378 43633316 49750136 50565712 54879016 55778672 78506756 87266632 99500272 109758032 157013512 174533264 192781777 212656187 314027024 338158199 385563554 425312374 665408069 676316398 771127108 850624748 1330816138 1352632796 1542254216 1701249496 2661632276 2705265592 3084508432 3402498992 5323264552 5410531184 10646529104 20627650139 41255300278 82510600556 165021201112 330042402224