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141624044856144 = 243576394768417
BaseRepresentation
bin100000001100111001101010…
…111000101010001101010000
3200120110010102012011021100000
4200030321222320222031100
5122030332020440344034
61221113104340330000
741554666566555414
oct4014715270521520
9616403365137300
10141624044856144
114114246920aa74
1213a738320a3900
136104123009a66
1426d88d716cd44
151158e769c2599
hex80ce6ae2a350

141624044856144 has 120 divisors (see below), whose sum is σ = 411084171359680. Its totient is φ = 47201825184768.

The previous prime is 141624044856121. The next prime is 141624044856299. The reversal of 141624044856144 is 441658440426141.

141624044856144 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 2 + 4 + 0 + 448 + 56 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27316224 + ... + 32084640.

Almost surely, 2141624044856144 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 141624044856144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205542085679840).

141624044856144 is an abundant number, since it is smaller than the sum of its proper divisors (269460126503536).

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

141624044856144 is an equidigital number, since it uses as much as digits as its factorization.

141624044856144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4776079 (or 4776061 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 141624044856144 in words is "one hundred forty-one trillion, six hundred twenty-four billion, forty-four million, eight hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 7639 15278 22917 30556 45834 61112 68751 91668 122224 137502 183336 206253 275004 366672 412506 550008 618759 825012 1100016 1237518 1650024 1856277 2475036 3300048 3712554 4768417 4950072 7425108 9536834 9900144 14305251 14850216 19073668 28610502 29700432 38147336 42915753 57221004 76294672 85831506 114442008 128747259 171663012 228884016 257494518 343326024 386241777 514989036 686652048 772483554 1029978072 1158725331 1544967108 2059956144 2317450662 3089934216 4634901324 6179868432 9269802648 18539605296 36425937463 72851874926 109277812389 145703749852 218555624778 291407499704 327833437167 437111249556 582814999408 655666874334 874222499112 983500311501 1311333748668 1748444998224 1967000623002 2622667497336 2950500934503 3934001246004 5245334994672 5901001869006 7868002492008 8851502803509 11802003738012 15736004984016 17703005607018 23604007476024 35406011214036 47208014952048 70812022428072 141624044856144