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423123131440 = 245731494331123
BaseRepresentation
bin1100010100001000001…
…10101001110000110000
31111110011011211011011101
412022010012221300300
523413024010201230
6522214033054144
742366246163252
oct6120406516060
91443134734141
10423123131440
11153499a82289
126a0070b7354
1330b9207c839
141669d183cd2
15b01692baca
hex62841a9c30

423123131440 has 160 divisors (see below), whose sum is σ = 1007144913600. Its totient is φ = 165280186368.

The previous prime is 423123131429. The next prime is 423123131467. The reversal of 423123131440 is 44131321324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 423123131399 and 423123131408.

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, 376778719 + ... + 376779841.

It is an arithmetic number, because the mean of its divisors is an integer number (6294655710).

Almost surely, 2423123131440 is an apocalyptic number.

423123131440 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 423123131440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503572456800).

423123131440 is an abundant number, since it is smaller than the sum of its proper divisors (584021782160).

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

423123131440 is a wasteful number, since it uses less digits than its factorization.

423123131440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1791 (or 1785 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 423123131440 its reverse (44131321324), we get a palindrome (467254452764).

The spelling of 423123131440 in words is "four hundred twenty-three billion, one hundred twenty-three million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 149 292 298 365 433 584 596 730 745 866 1123 1168 1192 1460 1490 1732 2165 2246 2384 2920 2980 3464 4330 4492 5615 5840 5960 6928 8660 8984 10877 11230 11920 17320 17968 21754 22460 31609 34640 43508 44920 54385 63218 64517 81979 87016 89840 108770 126436 129034 158045 163958 167327 174032 217540 252872 258068 316090 322585 327916 334654 409895 435080 486259 505744 516136 632180 645170 655832 669308 819790 836635 870160 972518 1032272 1264360 1290340 1311664 1338616 1639580 1673270 1945036 2431295 2528720 2580680 2677232 3279160 3346540 3890072 4709741 4862590 5161360 6558320 6693080 7780144 9419482 9725180 12214871 13386160 18838964 19450360 23548705 24429742 35496907 37677928 38900720 47097410 48859484 61074355 70993814 72452591 75355856 94194820 97718968 122148710 141987628 144905182 177484535 188389640 195437936 244297420 283975256 289810364 354969070 362262955 376779280 488594840 567950512 579620728 709938140 724525910 977189680 1159241456 1419876280 1449051820 2839752560 2898103640 5289039143 5796207280 10578078286 21156156572 26445195715 42312313144 52890391430 84624626288 105780782860 211561565720 423123131440