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150141323400 = 233521511657189
BaseRepresentation
bin1000101111010100011…
…1101100100010001000
3112100112121101111010120
42023311013230202020
54424442134322100
6152550213343240
713563433122555
oct2136507544210
9470477344116
10150141323400
1158746954552
1225122037b20
1311209930c83
1473a445ba2c
153d8b1e80a0
hex22f51ec888

150141323400 has 96 divisors (see below), whose sum is σ = 468520756800. Its totient is φ = 39772512000.

The previous prime is 150141323389. The next prime is 150141323411. The reversal of 150141323400 is 4323141051.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (150141323389) and next prime (150141323411).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 737995 + ... + 919194.

It is an arithmetic number, because the mean of its divisors is an integer number (4880424550).

Almost surely, 2150141323400 is an apocalyptic number.

150141323400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150141323400 is an abundant number, since it is smaller than the sum of its proper divisors (318379433400).

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

150141323400 is a wasteful number, since it uses less digits than its factorization.

150141323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1657359 (or 1657350 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 150141323400 its reverse (4323141051), we get a palindrome (154464464451).

The spelling of 150141323400 in words is "one hundred fifty billion, one hundred forty-one million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 151 200 300 302 453 600 604 755 906 1208 1510 1812 2265 3020 3624 3775 4530 6040 7550 9060 11325 15100 18120 22650 30200 45300 90600 1657189 3314378 4971567 6628756 8285945 9943134 13257512 16571890 19886268 24857835 33143780 39772536 41429725 49715670 66287560 82859450 99431340 124289175 165718900 198862680 248578350 250235539 331437800 497156700 500471078 750706617 994313400 1000942156 1251177695 1501413234 2001884312 2502355390 3002826468 3753533085 5004710780 6005652936 6255888475 7507066170 10009421560 12511776950 15014132340 18767665425 25023553900 30028264680 37535330850 50047107800 75070661700 150141323400