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150556356240 = 243512733114923
BaseRepresentation
bin1000110000110111011…
…0111010111010010000
3112101121112100100011020
42030031312322322100
54431314411344430
6153055321115440
713606632625053
oct2141566727220
9471545310136
10150556356240
115893a1578a4
1225219028b80
1311274906b34
147403616a9a
153db287ab10
hex230ddbae90

150556356240 has 160 divisors (see below), whose sum is σ = 471852466176. Its totient is φ = 39709232640.

The previous prime is 150556356191. The next prime is 150556356271. The reversal of 150556356240 is 42653655051.

150556356240 is digitally balanced in base 2, 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 = 150556356192 and 150556356201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10081419 + ... + 10096341.

Almost surely, 2150556356240 is an apocalyptic number.

150556356240 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 150556356240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235926233088).

150556356240 is an abundant number, since it is smaller than the sum of its proper divisors (321296109936).

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

150556356240 is a wasteful number, since it uses less digits than its factorization.

150556356240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15397 (or 15391 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 150556356240 in words is "one hundred fifty billion, five hundred fifty-six million, three hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 331 381 508 635 662 762 993 1016 1270 1324 1524 1655 1905 1986 2032 2540 2648 3048 3310 3810 3972 4965 5080 5296 6096 6620 7620 7944 9930 10160 13240 14923 15240 15888 19860 26480 29846 30480 39720 42037 44769 59692 74615 79440 84074 89538 119384 126111 149230 168148 179076 210185 223845 238768 252222 298460 336296 358152 420370 447690 504444 596920 630555 672592 716304 840740 895380 1008888 1193840 1261110 1681480 1790760 1895221 2017776 2522220 3362960 3581520 3790442 4939513 5044440 5685663 7580884 9476105 9879026 10088880 11371326 14818539 15161768 18952210 19758052 22742652 24697565 28428315 29637078 30323536 37904420 39516104 45485304 49395130 56856630 59274156 74092695 75808840 79032208 90970608 98790260 113713260 118548312 148185390 151617680 197580520 227426520 237096624 296370780 395161040 454853040 592741560 627318151 1185483120 1254636302 1881954453 2509272604 3136590755 3763908906 5018545208 6273181510 7527817812 9409772265 10037090416 12546363020 15055635624 18819544530 25092726040 30111271248 37639089060 50185452080 75278178120 150556356240