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144512652121236 = 223273779196189841
BaseRepresentation
bin100000110110111011111001…
…010010111001010010010100
3200221200021102012100022021200
4200312323321102321102110
5122420143402420334421
61231204110151112500
742303460144315440
oct4066737122712224
9627607365308250
10144512652121236
114205652075a253
121425b62a972730
13628363b936069
142798641d01820
1511a918bc11726
hex836ef94b9494

144512652121236 has 144 divisors (see below), whose sum is σ = 434191663127040. Its totient is φ = 39664877091840.

The previous prime is 144512652121223. The next prime is 144512652121241. The reversal of 144512652121236 is 632121256215441.

144512652121236 is a `hidden beast` number, since 1 + 4 + 4 + 51 + 26 + 521 + 21 + 2 + 36 = 666.

144512652121236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1445126521212362 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144512652121191 and 144512652121200.

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, 97358325 + ... + 98831516.

Almost surely, 2144512652121236 is an apocalyptic number.

It is an amenable number.

144512652121236 is an abundant number, since it is smaller than the sum of its proper divisors (289679011005804).

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

144512652121236 is a wasteful number, since it uses less digits than its factorization.

144512652121236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196189974 (or 196189969 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The spelling of 144512652121236 in words is "one hundred forty-four trillion, five hundred twelve billion, six hundred fifty-two million, one hundred twenty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 79 84 111 126 148 158 222 237 252 259 316 333 444 474 518 553 666 711 777 948 1036 1106 1332 1422 1554 1659 2212 2331 2844 2923 3108 3318 4662 4977 5846 6636 8769 9324 9954 11692 17538 19908 20461 26307 35076 40922 52614 61383 81844 105228 122766 184149 245532 368298 736596 196189841 392379682 588569523 784759364 1177139046 1373328887 1765708569 2354278092 2746657774 3531417138 4119986661 5493315548 7062834276 7259024117 8239973322 12359959983 14518048234 15498997439 16479946644 21777072351 24719919966 29036096468 30997994878 43554144702 46496992317 49439839932 50813168819 61995989756 65331217053 87108289404 92993984634 101626337638 108492982073 130662434106 139490976951 152439506457 185987969268 203252675276 216985964146 261324868212 278981953902 304879012914 325478946219 433971928292 457318519371 557963907804 573462905243 609758025828 650957892438 914637038742 976436838657 1146925810486 1301915784876 1720388715729 1829274077484 1952873677314 2293851620972 3440777431458 3905747354628 4014240336701 5161166147187 6881554862916 8028480673402 10322332294374 12042721010103 16056961346804 20644664588748 24085442020206 36128163030309 48170884040412 72256326060618 144512652121236