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114254031133554 = 231331432833882937
BaseRepresentation
bin11001111110100111010110…
…111100001001101101110010
3112222112120121212122010211020
4121332213112330021231302
5104433414223432233204
61042555324410400310
733031403254525464
oct3176472674115562
9488476555563736
10114254031133554
113344a953a84344
1210993243a30096
134b9a15535b3b0
14202dcd31cc134
15d3202235bbd9
hex67e9d6f09b72

114254031133554 has 128 divisors (see below), whose sum is σ = 260849934901248. Its totient is φ = 33112435668480.

The previous prime is 114254031133553. The next prime is 114254031133601. The reversal of 114254031133554 is 455331130452411.

It is a super-3 number, since 3×1142540311335543 (a number of 43 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (114254031133553) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27483174 + ... + 31366110.

It is an arithmetic number, because the mean of its divisors is an integer number (2037890116416).

Almost surely, 2114254031133554 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114254031133554, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130424967450624).

114254031133554 is an abundant number, since it is smaller than the sum of its proper divisors (146595903767694).

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

114254031133554 is a wasteful number, since it uses less digits than its factorization.

114254031133554 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3883312.

The product of its (nonzero) digits is 432000, while the sum is 42.

Adding to 114254031133554 its reverse (455331130452411), we get a palindrome (569585161585965).

The spelling of 114254031133554 in words is "one hundred fourteen trillion, two hundred fifty-four billion, thirty-one million, one hundred thirty-three thousand, five hundred fifty-four".

Divisors: 1 2 3 6 13 26 31 39 43 62 78 86 93 129 186 258 283 403 559 566 806 849 1118 1209 1333 1677 1698 2418 2666 3354 3679 3999 7358 7998 8773 11037 12169 17329 17546 22074 24338 26319 34658 36507 51987 52638 73014 103974 114049 158197 228098 316394 342147 377239 474591 684294 754478 949182 1131717 2263434 3882937 4904107 7765874 9808214 11648811 14712321 23297622 29424642 50478181 100956362 120371047 151434543 166966291 240742094 302869086 333932582 361113141 500898873 722226282 1001797746 1098871171 1564823611 2170561783 2197742342 3129647222 3296613513 4341123566 4694470833 5175955021 6511685349 6593227026 9388941666 10351910042 13023370698 14285325223 15527865063 28570650446 31055730126 34065006301 42855975669 47251460353 67287415273 68130012602 85711951338 94502920706 102195018903 134574830546 141754381059 201862245819 204390037806 283508762118 403724491638 442845081913 614268984589 885690163826 1228537969178 1328535245739 1464795270943 1842806953767 2657070491478 2929590541886 3685613907534 4394385812829 8788771625658 19042338522259 38084677044518 57127015566777 114254031133554