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423605325640 = 235773131158201
BaseRepresentation
bin1100010101000001101…
…10000100111101001000
31111111101210011011020211
412022200312010331020
523420020430410030
6522333540130504
742414222600250
oct6124066047510
91444353134224
10423605325640
11153717187992
126a120696a34
1330c3ac3c153
1416707222960
15b043e2912a
hex62a0d84f48

423605325640 has 128 divisors (see below), whose sum is σ = 1112628337920. Its totient is φ = 142152192000.

The previous prime is 423605325631. The next prime is 423605325659. The reversal of 423605325640 is 46523506324.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 423605325593 and 423605325602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2598540 + ... + 2756740.

It is an arithmetic number, because the mean of its divisors is an integer number (8692408890).

Almost surely, 2423605325640 is an apocalyptic number.

423605325640 is a gapful number since it is divisible by the number (40) 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 423605325640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556314168960).

423605325640 is an abundant number, since it is smaller than the sum of its proper divisors (689023012280).

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

423605325640 is a wasteful number, since it uses less digits than its factorization.

423605325640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158423 (or 158419 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 40.

The spelling of 423605325640 in words is "four hundred twenty-three billion, six hundred five million, three hundred twenty-five thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 131 140 146 262 280 292 365 511 524 584 655 730 917 1022 1048 1310 1460 1834 2044 2555 2620 2920 3668 4088 4585 5110 5240 7336 9170 9563 10220 18340 19126 20440 36680 38252 47815 66941 76504 95630 133882 158201 191260 267764 316402 334705 382520 535528 632804 669410 791005 1107407 1265608 1338820 1582010 2214814 2677640 3164020 4429628 5537035 6328040 8859256 11074070 11548673 20724331 22148140 23097346 41448662 44296280 46194692 57743365 80840711 82897324 92389384 103621655 115486730 145070317 161681422 165794648 207243310 230973460 290140634 323362844 404203555 414486620 461946920 580281268 646725688 725351585 808407110 828973240 1160562536 1450703170 1512876163 1616814220 2901406340 3025752326 3233628440 5802812680 6051504652 7564380815 10590133141 12103009304 15128761630 21180266282 30257523260 42360532564 52950665705 60515046520 84721065128 105901331410 211802662820 423605325640