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3123233420304 = 2431132931965247
BaseRepresentation
bin101101011100101111001…
…101111111010000010000
3102001120121111200122202010
4231130233031333100100
5402132340223422204
610350443231222520
7441434431021614
oct55345715772020
912046544618663
103123233420304
11aa4612930388
12425378677a40
1319869a88780a
14ab245847344
15563984e9d89
hex2d72f37f410

3123233420304 has 80 divisors (see below), whose sum is σ = 8167539244032. Its totient is φ = 1028342482944.

The previous prime is 3123233420227. The next prime is 3123233420317. The reversal of 3123233420304 is 4030243323213.

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 15 ways as a sum of consecutive naturals, for example, 606609 + ... + 2571855.

Almost surely, 23123233420304 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 3123233420304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083769622016).

3123233420304 is an abundant number, since it is smaller than the sum of its proper divisors (5044305823728).

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

3123233420304 is a wasteful number, since it uses less digits than its factorization.

3123233420304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965664 (or 1965658 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 3123233420304 its reverse (4030243323213), we get a palindrome (7153476743517).

The spelling of 3123233420304 in words is "three trillion, one hundred twenty-three billion, two hundred thirty-three million, four hundred twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 293 339 452 586 678 879 904 1172 1356 1758 1808 2344 2712 3516 4688 5424 7032 14064 33109 66218 99327 132436 198654 264872 397308 529744 794616 1589232 1965247 3930494 5895741 7860988 11791482 15721976 23582964 31443952 47165928 94331856 222072911 444145822 575817371 666218733 888291644 1151634742 1332437466 1727452113 1776583288 2303269484 2664874932 3454904226 3553166576 4606538968 5329749864 6909808452 9213077936 10659499728 13819616904 27639233808 65067362923 130134725846 195202088769 260269451692 390404177538 520538903384 780808355076 1041077806768 1561616710152 3123233420304