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423433334324 = 227112139719901
BaseRepresentation
bin1100010100101101001…
…01111110111000110100
31111110221210112002112002
412022112211332320310
523414142413144244
6522304513514432
742410033645660
oct6122645767064
91443853462462
10423433334324
11153639095300
126a092b72a18
1330c11410640
14166cc4518a0
15b033ca3a4e
hex629697ee34

423433334324 has 144 divisors (see below), whose sum is σ = 1003591306368. Its totient is φ = 152111520000.

The previous prime is 423433334321. The next prime is 423433334329.

423433334324 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423433334321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42761774 + ... + 42771674.

It is an arithmetic number, because the mean of its divisors is an integer number (6969384072).

Almost surely, 2423433334324 is an apocalyptic number.

423433334324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 423433334324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501795653184).

423433334324 is an abundant number, since it is smaller than the sum of its proper divisors (580157972044).

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

423433334324 is a wasteful number, since it uses less digits than its factorization.

423433334324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10918 (or 10905 counting only the distinct ones).

The product of its digits is 746496, while the sum is 38.

It can be divided in two parts, 423433 and 334324, that added together give a palindrome (757757).

The spelling of 423433334324 in words is "four hundred twenty-three billion, four hundred thirty-three million, three hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 143 154 182 242 286 308 364 484 572 847 971 1001 1573 1694 1942 2002 3146 3388 3884 4004 6292 6797 9901 10681 11011 12623 13594 19802 21362 22022 25246 27188 39604 42724 44044 50492 69307 74767 88361 108911 117491 128713 138614 138853 149534 176722 217822 234982 257426 277228 277706 299068 353444 435644 469964 514852 555412 762377 822437 900991 971971 1198021 1415843 1524754 1527383 1644874 1801982 1943942 2396042 2831686 3049508 3054766 3289748 3603964 3887884 4792084 5663372 6109532 8386147 9613871 9910901 10691681 15574273 16772294 19227742 19821802 21383362 31148546 33544588 38455484 39643604 42766724 62297092 67297097 105752581 109019911 124980323 134594194 211505162 218039822 249960646 269188388 423010324 436079644 499921292 740268067 874862261 1163278391 1374783553 1480536134 1749724522 2326556782 2749567106 2961072268 3499449044 4653113564 5499134212 8142948737 9623484871 15122619083 16285897474 19246969742 30245238166 32571794948 38493939484 60490476332 105858333581 211716667162 423433334324