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12341158380 = 2235514291777
BaseRepresentation
bin10110111111001011…
…10010000111101100
31011212002001210200000
423133211302013230
5200233314032010
65400333504300
7614553054405
oct133745620754
934762053600
1012341158380
115263297a51
122485042090
131218a434a5
148510669ac
154c36ae7c0
hex2df9721ec

12341158380 has 144 divisors (see below), whose sum is σ = 38870351520. Its totient is φ = 3286821888.

The previous prime is 12341158367. The next prime is 12341158397. The reversal of 12341158380 is 8385114321.

12341158380 is a `hidden beast` number, since 123 + 4 + 1 + 158 + 380 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6944052 + ... + 6945828.

Almost surely, 212341158380 is an apocalyptic number.

12341158380 is a gapful number since it is divisible by the number (10) 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 12341158380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19435175760).

12341158380 is an abundant number, since it is smaller than the sum of its proper divisors (26529193140).

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

12341158380 is a wasteful number, since it uses less digits than its factorization.

12341158380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3230 (or 3216 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 12341158380 in words is "twelve billion, three hundred forty-one million, one hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 810 972 1215 1429 1620 1777 2430 2858 3554 4287 4860 5331 5716 7108 7145 8574 8885 10662 12861 14290 15993 17148 17770 21324 21435 25722 26655 28580 31986 35540 38583 42870 47979 51444 53310 63972 64305 77166 79965 85740 95958 106620 115749 128610 143937 154332 159930 191916 192915 231498 239895 257220 287874 319860 347247 385830 431811 462996 479790 575748 578745 694494 719685 771660 863622 959580 1157490 1388988 1439370 1727244 1736235 2159055 2314980 2539333 2878740 3472470 4318110 5078666 6944940 7617999 8636220 10157332 12696665 15235998 22853997 25393330 30471996 38089995 45707994 50786660 68561991 76179990 91415988 114269985 137123982 152359980 205685973 228539970 274247964 342809955 411371946 457079940 617057919 685619910 822743892 1028429865 1234115838 1371239820 2056859730 2468231676 3085289595 4113719460 6170579190 12341158380