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141405514425 = 33527487251
BaseRepresentation
bin1000001110110001101…
…1001110101010111001
3111111222210102102002000
42003230123032222321
54304044302430200
6144543310531213
713134106020000
oct2035433165271
9444883372060
10141405514425
1154a737a9a0a
12234a4506b09
1310446b21736
146bb6177c37
153a29305300
hex20ec6ceab9

141405514425 has 120 divisors (see below), whose sum is σ = 303047136480. Its totient is φ = 64641780000.

The previous prime is 141405514403. The next prime is 141405514441. The reversal of 141405514425 is 524415504141.

141405514425 is a `hidden beast` number, since 1 + 4 + 1 + 40 + 551 + 44 + 25 = 666.

It is not a de Polignac number, because 141405514425 - 224 = 141388737209 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 141405514425.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1577050 + ... + 1664300.

It is an arithmetic number, because the mean of its divisors is an integer number (2525392804).

Almost surely, 2141405514425 is an apocalyptic number.

141405514425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

141405514425 is an abundant number, since it is smaller than the sum of its proper divisors (161641622055).

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

141405514425 is an frugal number, since it uses more digits than its factorization.

141405514425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87298 (or 87266 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The spelling of 141405514425 in words is "one hundred forty-one billion, four hundred five million, five hundred fourteen thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 49 63 75 105 135 147 175 189 225 245 315 343 441 525 675 735 945 1029 1225 1323 1575 1715 2205 2401 3087 3675 4725 5145 6615 7203 8575 9261 11025 12005 15435 21609 25725 33075 36015 46305 60025 64827 77175 87251 108045 180075 231525 261753 324135 436255 540225 610757 785259 1308765 1620675 1832271 2181275 2355777 3053785 3926295 4275299 5496813 6543825 9161355 11778885 12825897 15268925 16490439 19631475 21376495 27484065 29927093 38477691 45806775 58894425 64129485 82452195 89781279 106882475 115433073 137420325 149635465 192388455 209489651 269343837 320647425 412260975 448906395 577165365 628468953 748177325 808031511 961942275 1047448255 1346719185 1885406859 2244531975 2885826825 3142344765 4040157555 5237241275 5656220577 6733595925 9427034295 15711723825 20200787775 28281102885 47135171475 141405514425