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150240550240 = 25511261127219
BaseRepresentation
bin1000101111101100001…
…0001101110101100000
3112100210112002201202201
42023323002031311200
54430143040101430
6153004120222544
713566046414624
oct2137302156540
9470715081681
10150240550240
1158797968100
122514b30aa54
1311224363891
1473b36cb184
153d94c988ca
hex22fb08dd60

150240550240 has 144 divisors (see below), whose sum is σ = 396543213360. Its totient is φ = 53736883200.

The previous prime is 150240550231. The next prime is 150240550247. The reversal of 150240550240 is 42055042051.

150240550240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 150240550199 and 150240550208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150240550247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117351 + ... + 1244569.

It is an arithmetic number, because the mean of its divisors is an integer number (2753772315).

Almost surely, 2150240550240 is an apocalyptic number.

150240550240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150240550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198271606680).

150240550240 is an abundant number, since it is smaller than the sum of its proper divisors (246302663120).

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

150240550240 is a wasteful number, since it uses less digits than its factorization.

150240550240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127317 (or 127298 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

Adding to 150240550240 its reverse (42055042051), we get a palindrome (192295592291).

The spelling of 150240550240 in words is "one hundred fifty billion, two hundred forty million, five hundred fifty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 80 88 110 121 122 160 176 220 242 244 305 352 440 484 488 605 610 671 880 968 976 1210 1220 1342 1760 1936 1952 2420 2440 2684 3355 3872 4840 4880 5368 6710 7381 9680 9760 10736 13420 14762 19360 21472 26840 29524 36905 53680 59048 73810 107360 118096 127219 147620 236192 254438 295240 508876 590480 636095 1017752 1180960 1272190 1399409 2035504 2544380 2798818 4071008 5088760 5597636 6997045 7760359 10177520 11195272 13994090 15393499 15520718 20355040 22390544 27988180 30786998 31041436 38801795 44781088 55976360 61573996 62082872 76967495 77603590 85363949 111952720 123147992 124165744 153934990 155207180 170727898 223905440 246295984 248331488 307869980 310414360 341455796 426819745 492591968 615739960 620828720 682911592 853639490 939003439 1231479920 1241657440 1365823184 1707278980 1878006878 2462959840 2731646368 3414557960 3756013756 4695017195 6829115920 7512027512 9390034390 13658231840 15024055024 18780068780 30048110048 37560137560 75120275120 150240550240