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423334201344 = 2113187336787
BaseRepresentation
bin1100010100100001010…
…11110100100000000000
31111110200212222121122020
412022100223310200000
523413442023420334
6522251013041440
742404421224355
oct6122053644000
91443625877566
10423334201344
1115359813621a
126a065926280
1330bc6a11682
14166bd20862c
15b02a220e49
hex6290af4800

423334201344 has 96 divisors (see below), whose sum is σ = 1129248862560. Its totient is φ = 141032226816.

The previous prime is 423334201309. The next prime is 423334201387. The reversal of 423334201344 is 443102433324.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11489319 + ... + 11526105.

It is an arithmetic number, because the mean of its divisors is an integer number (11763008985).

Almost surely, 2423334201344 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 423334201344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564624431280).

423334201344 is an abundant number, since it is smaller than the sum of its proper divisors (705914661216).

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

423334201344 is a wasteful number, since it uses less digits than its factorization.

423334201344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38685 (or 38665 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 423334201344 its reverse (443102433324), we get a palindrome (866436634668).

The spelling of 423334201344 in words is "four hundred twenty-three billion, three hundred thirty-four million, two hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 1873 2048 3072 3746 5619 6144 7492 11238 14984 22476 29968 36787 44952 59936 73574 89904 110361 119872 147148 179808 220722 239744 294296 359616 441444 479488 588592 719232 882888 958976 1177184 1438464 1765776 1917952 2354368 2876928 3531552 3835904 4708736 5753856 7063104 9417472 11507712 14126208 18834944 28252416 37669888 56504832 68902051 75339776 113009664 137804102 206706153 226019328 275608204 413412306 551216408 826824612 1102432816 1653649224 2204865632 3307298448 4409731264 6614596896 8819462528 13229193792 17638925056 26458387584 35277850112 52916775168 70555700224 105833550336 141111400448 211667100672 423334201344