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150042042963792 = 24327766919409471
BaseRepresentation
bin100010000111011001100010…
…101011000001011101010000
3201200020212201221201122101200
4202013121202223001131100
5124131242100444320132
61251040210222431200
743414115461100010
oct4207314253013520
9650225657648350
10150042042963792
1143898522735231
12149b31a0732500
136594b99c59395
14290a106067c40
151252e10463d7c
hex887662ac1750

150042042963792 has 120 divisors (see below), whose sum is σ = 479958976373760. Its totient is φ = 42863562996480.

The previous prime is 150042042963779. The next prime is 150042042963803. The reversal of 150042042963792 is 297369240240051.

It is a happy number.

150042042963792 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 420 + 42 + 96 + 3 + 7 + 92 = 666.

It is a super-2 number, since 2×1500420429637922 (a number of 29 digits) contains 22 as substring.

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, 1974384 + ... + 17435087.

It is an arithmetic number, because the mean of its divisors is an integer number (3999658136448).

Almost surely, 2150042042963792 is an apocalyptic number.

150042042963792 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150042042963792 is an abundant number, since it is smaller than the sum of its proper divisors (329916933409968).

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

150042042963792 is a wasteful number, since it uses less digits than its factorization.

150042042963792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19417161 (or 19417152 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 150042042963792 in words is "one hundred fifty trillion, forty-two billion, forty-two million, nine hundred sixty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 7669 15338 23007 30676 46014 53683 61352 69021 92028 107366 122704 138042 161049 184056 214732 276084 322098 368112 429464 483147 552168 644196 858928 966294 1104336 1288392 1932588 2576784 3865176 7730352 19409471 38818942 58228413 77637884 116456826 135866297 155275768 174685239 232913652 271732594 310551536 349370478 407598891 465827304 543465188 698740956 815197782 931654608 1086930376 1222796673 1397481912 1630395564 2173860752 2445593346 2794963824 3260791128 4891186692 6521582256 9782373384 19564746768 148851233099 297702466198 446553699297 595404932396 893107398594 1041958631693 1190809864792 1339661097891 1786214797188 2083917263386 2381619729584 2679322195782 3125875895079 3572429594376 4167834526772 5358644391564 6251751790158 7144859188752 8335669053544 9377627685237 10717288783128 12503503580316 16671338107088 18755255370474 21434577566256 25007007160632 37510510740948 50014014321264 75021021481896 150042042963792