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12104311440 = 24351317228211
BaseRepresentation
bin10110100010111100…
…10010001010010000
31011020120101201202010
423101132102022100
5144242200431230
65321033222520
7605645643504
oct132136221220
934216351663
1012104311440
115151628381
122419861a40
1311ab957880
1482b812304
154ac9c79b0
hex2d1792290

12104311440 has 160 divisors (see below), whose sum is σ = 42787011456. Its totient is φ = 2804244480.

The previous prime is 12104311433. The next prime is 12104311441. The reversal of 12104311440 is 4411340121.

It is not an unprimeable number, because it can be changed into a prime (12104311441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61066 + ... + 167145.

Almost surely, 212104311440 is an apocalyptic number.

12104311440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12104311440 is an abundant number, since it is smaller than the sum of its proper divisors (30682700016).

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

12104311440 is a wasteful number, since it uses less digits than its factorization.

12104311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228257 (or 228251 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 12104311440 its reverse (4411340121), we get a palindrome (16515651561).

The spelling of 12104311440 in words is "twelve billion, one hundred four million, three hundred eleven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1360 1560 1768 2040 2210 2652 3120 3315 3536 4080 4420 5304 6630 8840 10608 13260 17680 26520 53040 228211 456422 684633 912844 1141055 1369266 1825688 2282110 2738532 2966743 3423165 3651376 3879587 4564220 5477064 5933486 6846330 7759174 8900229 9128440 10954128 11638761 11866972 13692660 14833715 15518348 17800458 18256880 19397935 23277522 23733944 27385320 29667430 31036696 35600916 38795870 44501145 46555044 47467888 50434631 54770640 58193805 59334860 62073392 71201832 77591740 89002290 93110088 100869262 116387610 118669720 142403664 151303893 155183480 178004580 186220176 201738524 232775220 237339440 252173155 302607786 310366960 356009160 403477048 465550440 504346310 605215572 712018320 756519465 806954096 931100880 1008692620 1210431144 1513038930 2017385240 2420862288 3026077860 4034770480 6052155720 12104311440