Search a number
-
+
12141253488 = 24371317316067
BaseRepresentation
bin10110100111010110…
…01101001101110000
31011100010220120201010
423103223031031300
5144331130102423
65324433110520
7606604644330
oct132353151560
934303816633
1012141253488
11517046a4a1
12242a0b8440
1311b64c0580
148326ab0c0
154b0d73693
hex2d3acd370

12141253488 has 160 divisors (see below), whose sum is σ = 38828514816. Its totient is φ = 3183381504.

The previous prime is 12141253483. The next prime is 12141253489. The reversal of 12141253488 is 88435214121.

It is a super-2 number, since 2×121412534882 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12141253483) 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, 747631 + ... + 763697.

Almost surely, 212141253488 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 12141253488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414257408).

12141253488 is an abundant number, since it is smaller than the sum of its proper divisors (26687261328).

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

12141253488 is a wasteful number, since it uses less digits than its factorization.

12141253488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16271 (or 16265 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The spelling of 12141253488 in words is "twelve billion, one hundred forty-one million, two hundred fifty-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 173 182 208 273 312 336 346 364 519 546 624 692 728 1038 1092 1211 1384 1456 2076 2184 2249 2422 2768 3633 4152 4368 4498 4844 6747 7266 8304 8996 9688 13494 14532 15743 16067 17992 19376 26988 29064 31486 32134 35984 47229 48201 53976 58128 62972 64268 94458 96402 107952 112469 125944 128536 188916 192804 208871 224938 251888 257072 337407 377832 385608 417742 449876 626613 674814 755664 771216 835484 899752 1253226 1349628 1462097 1670968 1799504 2506452 2699256 2779591 2924194 3341936 4386291 5012904 5398512 5559182 5848388 8338773 8772582 10025808 11118364 11696776 16677546 17545164 19457137 22236728 23393552 33355092 35090328 36134683 38914274 44473456 58371411 66710184 70180656 72269366 77828548 108404049 116742822 133420368 144538732 155657096 216808098 233485644 252942781 289077464 311314192 433616196 466971288 505885562 578154928 758828343 867232392 933942576 1011771124 1517656686 1734464784 2023542248 3035313372 4047084496 6070626744 12141253488