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423948095232 = 2834317971607
BaseRepresentation
bin1100010101101010100…
…01101000111100000000
31111112021200010122201220
412022311101220330000
523421221203021412
6522431542555040
742425554231434
oct6126521507400
91445250118656
10423948095232
11153882713842
126a1b7438a80
1330c93c632ac
141673a96a9c4
15b06408568c
hex62b5468f00

423948095232 has 144 divisors (see below), whose sum is σ = 1133061737472. Its totient is φ = 140723630080.

The previous prime is 423948095209. The next prime is 423948095281. The reversal of 423948095232 is 232590849324.

It is a happy number.

It is a super-2 number, since 2×4239480952322 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263812573 + ... + 263814179.

It is an arithmetic number, because the mean of its divisors is an integer number (7868484288).

Almost surely, 2423948095232 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 423948095232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566530868736).

423948095232 is an abundant number, since it is smaller than the sum of its proper divisors (709113642240).

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

423948095232 is a wasteful number, since it uses less digits than its factorization.

423948095232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2854 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 423948095232 in words is "four hundred twenty-three billion, nine hundred forty-eight million, ninety-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 431 768 797 862 1293 1594 1607 1724 2391 2586 3188 3214 3448 4782 4821 5172 6376 6428 6896 9564 9642 10344 12752 12856 13792 19128 19284 20688 25504 25712 27584 38256 38568 41376 51008 51424 55168 76512 77136 82752 102016 102848 110336 153024 154272 165504 204032 205696 306048 308544 331008 343507 411392 612096 617088 687014 692617 1030521 1234176 1280779 1374028 1385234 2061042 2077851 2561558 2748056 2770468 3842337 4122084 4155702 5123116 5496112 5540936 7684674 8244168 8311404 10246232 10992224 11081872 15369348 16488336 16622808 20492464 21984448 22163744 30738696 32976672 33245616 40984928 43968896 44327488 61477392 65953344 66491232 81969856 87937792 88654976 122954784 131906688 132982464 163939712 177309952 245909568 263813376 265964928 327879424 491819136 531929856 552015749 983638272 1104031498 1656047247 2208062996 3312094494 4416125992 6624188988 8832251984 13248377976 17664503968 26496755952 35329007936 52993511904 70658015872 105987023808 141316031744 211974047616 423948095232