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423342343440 = 243251551137907
BaseRepresentation
bin1100010100100010010…
…10111000010100010000
31111110201110022021111100
412022101022320110100
523414001114442230
6522251503344400
742404550355302
oct6122112702420
91443643267440
10423342343440
111535a1797525
126a0685b2100
1330bc8602693
14166c0327972
15b02accd660
hex62912b8510

423342343440 has 120 divisors (see below), whose sum is σ = 1421853870528. Its totient is φ = 112881035520.

The previous prime is 423342343429. The next prime is 423342343453. The reversal of 423342343440 is 44343243324.

423342343440 is a `hidden beast` number, since 4 + 233 + 42 + 343 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4233423434402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 423342343395 and 423342343404.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11148967 + ... + 11186873.

Almost surely, 2423342343440 is an apocalyptic number.

423342343440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

423342343440 is an abundant number, since it is smaller than the sum of its proper divisors (998511527088).

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

423342343440 is a wasteful number, since it uses less digits than its factorization.

423342343440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53437 (or 53428 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

Adding to 423342343440 its reverse (44343243324), we get a palindrome (467685586764).

The spelling of 423342343440 in words is "four hundred twenty-three billion, three hundred forty-two million, three hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 15511 31022 37907 46533 62044 75814 77555 93066 113721 124088 139599 151628 155110 186132 189535 227442 232665 248176 279198 303256 310220 341163 372264 379070 454884 465330 558396 568605 606512 620440 682326 697995 744528 758140 909768 930660 1116792 1137210 1240880 1364652 1395990 1516280 1705815 1819536 1861320 2233584 2274420 2729304 2791980 3032560 3411630 3722640 4548840 5458608 5583960 6823260 9097680 11167920 13646520 27293040 587975477 1175950954 1763926431 2351901908 2939877385 3527852862 4703803816 5291779293 5879754770 7055705724 8819632155 9407607632 10583558586 11759509540 14111411448 17639264310 21167117172 23519019080 26458896465 28222822896 35278528620 42334234344 47038038160 52917792930 70557057240 84668468688 105835585860 141114114480 211671171720 423342343440