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114331202304 = 2831171190613
BaseRepresentation
bin110101001111010101…
…0111011001100000000
3101221002221022211222020
41222132222323030000
53333122241433204
6124304550241440
711155143120264
oct1523652731400
9357087284866
10114331202304
114453aa8a550
121a1a9356280
13aa209226c7
1457685100a4
152e92491bd9
hex1a9eabb300

114331202304 has 144 divisors (see below), whose sum is σ = 336627373824. Its totient is φ = 34157670400.

The previous prime is 114331202287. The next prime is 114331202309. The reversal of 114331202304 is 403202133411.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (114331202309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 504502 + ... + 695114.

It is an arithmetic number, because the mean of its divisors is an integer number (2337690096).

Almost surely, 2114331202304 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 114331202304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168313686912).

114331202304 is an abundant number, since it is smaller than the sum of its proper divisors (222296171520).

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

114331202304 is a wasteful number, since it uses less digits than its factorization.

114331202304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190714 (or 190700 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 114331202304 its reverse (403202133411), we get a palindrome (517533335715).

The spelling of 114331202304 in words is "one hundred fourteen billion, three hundred thirty-one million, two hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 128 132 142 176 192 213 256 264 284 352 384 426 528 568 704 768 781 852 1056 1136 1408 1562 1704 2112 2272 2343 2816 3124 3408 4224 4544 4686 6248 6816 8448 9088 9372 12496 13632 18176 18744 24992 27264 37488 49984 54528 74976 99968 149952 190613 199936 299904 381226 571839 599808 762452 1143678 1524904 2096743 2287356 3049808 4193486 4574712 6099616 6290229 8386972 9149424 12199232 12580458 13533523 16773944 18298848 24398464 25160916 27067046 33547888 36597696 40600569 48796928 50321832 54134092 67095776 73195392 81201138 100643664 108268184 134191552 146390784 148868753 162402276 201287328 216536368 268383104 297737506 324804552 402574656 433072736 446606259 536766208 595475012 649609104 805149312 866145472 893212518 1190950024 1299218208 1610298624 1732290944 1786425036 2381900048 2598436416 3464581888 3572850072 4763800096 5196872832 7145700144 9527600192 10393745664 14291400288 19055200384 28582800576 38110400768 57165601152 114331202304