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114301024002 = 232112263383521
BaseRepresentation
bin110101001110011011…
…1110011011100000010
3101221000211112122010100
41222130313303130002
53333042030232002
6124301551343230
711154325450014
oct1523467633402
9357024478110
10114301024002
1144524a48100
121a19b221b16
13aa175b7519
1457644d61b4
152e8e9d011c
hex1a9cdf3702

114301024002 has 144 divisors (see below), whose sum is σ = 274487076864. Its totient is φ = 34348828800.

The previous prime is 114301023959. The next prime is 114301024037. The reversal of 114301024002 is 200420103411.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 219387502 + ... + 219388022.

It is an arithmetic number, because the mean of its divisors is an integer number (1906160256).

Almost surely, 2114301024002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114301024002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137243538432).

114301024002 is an abundant number, since it is smaller than the sum of its proper divisors (160186052862).

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

114301024002 is a wasteful number, since it uses less digits than its factorization.

114301024002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 114301024002 its reverse (200420103411), we get a palindrome (314721127413).

The spelling of 114301024002 in words is "one hundred fourteen billion, three hundred one million, twenty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 263 363 383 521 526 726 766 789 1042 1089 1149 1563 1578 2178 2298 2367 2893 3126 3447 4213 4689 4734 5731 5786 6894 8426 8679 9378 11462 12639 17193 17358 25278 26037 31823 34386 37917 46343 51579 52074 63041 63646 75834 92686 95469 100729 103158 126082 137023 139029 189123 190938 199543 201458 274046 278058 286407 302187 378246 399086 411069 417087 567369 572814 598629 604374 822138 834174 906561 1108019 1134738 1197258 1233207 1507253 1795887 1813122 2194973 2216038 2466414 3014506 3324057 3591774 4389946 4521759 6584919 6648114 9043518 9972171 12188209 13169838 13565277 16579783 19754757 19944342 24144703 24376418 27130554 33159566 36564627 39509514 48289406 49739349 52479809 72434109 73129254 99478698 104959618 109693881 144868218 149218047 157439427 217302327 219387762 298436094 314878854 434604654 472318281 577277899 944636562 1154555798 1731833697 3463667394 5195501091 6350056889 10391002182 12700113778 19050170667 38100341334 57150512001 114301024002