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423102133104 = 243716316994547
BaseRepresentation
bin1100010100000101101…
…10100011001101110000
31111110002201022022212020
412022002312203031300
523413003121224404
6522212003031440
742365602535520
oct6120266431560
91443081268766
10423102133104
1115348913a992
126a00006b580
1330b8a909ba1
141669a479680
15b014b7eed9
hex6282da3370

423102133104 has 160 divisors (see below), whose sum is σ = 1257838540800. Its totient is φ = 120047567616.

The previous prime is 423102133081. The next prime is 423102133109. The reversal of 423102133104 is 401331201324.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423102133109) 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 31 ways as a sum of consecutive naturals, for example, 93048559 + ... + 93053105.

It is an arithmetic number, because the mean of its divisors is an integer number (7861490880).

Almost surely, 2423102133104 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 423102133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628919270400).

423102133104 is an abundant number, since it is smaller than the sum of its proper divisors (834736407696).

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

423102133104 is a wasteful number, since it uses less digits than its factorization.

423102133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6427 (or 6421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 423102133104 its reverse (401331201324), we get a palindrome (824433334428).

The spelling of 423102133104 in words is "four hundred twenty-three billion, one hundred two million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 163 168 326 336 489 652 978 1141 1304 1699 1956 2282 2608 3398 3423 3912 4547 4564 5097 6796 6846 7824 9094 9128 10194 11893 13592 13641 13692 18188 18256 20388 23786 27184 27282 27384 31829 35679 36376 40776 47572 54564 54768 63658 71358 72752 81552 95144 95487 109128 127316 142716 190288 190974 218256 254632 276937 285432 381948 509264 553874 570864 741161 763896 830811 1107748 1482322 1527792 1661622 1938559 2215496 2223483 2964644 3323244 3877118 4430992 4446966 5188127 5815677 5929288 6646488 7725353 7754236 8893932 10376254 11631354 11858576 13292976 15450706 15508472 15564381 17787864 20752508 23176059 23262708 30901412 31016944 31128762 35575728 41505016 46352118 46525416 54077471 61802824 62257524 83010032 92704236 93050832 108154942 123605648 124515048 162232413 185408472 216309884 249030096 324464826 370816944 432619768 648929652 865239536 1259232539 1297859304 2518465078 2595718608 3777697617 5036930156 7555395234 8814627773 10073860312 15110790468 17629255546 20147720624 26443883319 30221580936 35258511092 52887766638 60443161872 70517022184 105775533276 141034044368 211551066552 423102133104