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114236483004 = 223372103209579
BaseRepresentation
bin110101001100100000…
…1100110010110111100
3101220212100002121112000
41222121001212112330
53332424014424004
6124251324142300
711152613040600
oct1523101462674
9356770077460
10114236483004
11444a1575536
121a181697990
13aa0710a697
145759ad5500
152e88ed1c39
hex1a990665bc

114236483004 has 144 divisors (see below), whose sum is σ = 347869267200. Its totient is φ = 32321957472.

The previous prime is 114236482999. The next prime is 114236483029. The reversal of 114236483004 is 400384632411.

114236483004 is a `hidden beast` number, since 1 + 1 + 4 + 2 + 3 + 648 + 3 + 0 + 0 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 114236483004.

It is a congruent number.

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, 440287 + ... + 649865.

It is an arithmetic number, because the mean of its divisors is an integer number (2415758800).

Almost surely, 2114236483004 is an apocalyptic number.

114236483004 is a gapful number since it is divisible by the number (14) 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 114236483004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173934633600).

114236483004 is an abundant number, since it is smaller than the sum of its proper divisors (233632784196).

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

114236483004 is a wasteful number, since it uses less digits than its factorization.

114236483004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209709 (or 209694 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 114236483004 in words is "one hundred fourteen billion, two hundred thirty-six million, four hundred eighty-three thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 103 108 126 147 189 196 206 252 294 309 378 412 441 588 618 721 756 882 927 1236 1323 1442 1764 1854 2163 2646 2781 2884 3708 4326 5047 5292 5562 6489 8652 10094 11124 12978 15141 19467 20188 25956 30282 38934 45423 60564 77868 90846 136269 181692 209579 272538 419158 545076 628737 838316 1257474 1467053 1886211 2514948 2934106 3772422 4401159 5658633 5868212 7544844 8802318 10269371 11317266 13203477 17604636 20538742 21586637 22634532 26406954 30808113 39610431 41077484 43173274 52813908 61616226 64759911 79220862 86346548 92424339 123232452 129519822 151106459 158441724 184848678 194279733 259039644 277273017 302212918 369697356 388559466 453319377 554546034 582839199 604425836 777118932 906638754 1057745213 1109092068 1165678398 1359958131 1813277508 2115490426 2331356796 2719916262 3173235639 4079874393 4230980852 5439832524 6346471278 8159748786 9519706917 12692942556 16319497572 19039413834 28559120751 38078827668 57118241502 114236483004