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150001141344 = 2536125614949
BaseRepresentation
bin1000101110110011000…
…0111100011001100000
3112100011211121111111120
42023230300330121200
54424200243010334
6152524245012240
713560111443535
oct2135460743140
9470154544446
10150001141344
115868480870a
12250a30b4080
13111b688bb02
14738d9aad8c
153d7dc57949
hex22ecc3c660

150001141344 has 48 divisors (see below), whose sum is σ = 400207978800. Its totient is φ = 49180700160.

The previous prime is 150001141331. The next prime is 150001141373. The reversal of 150001141344 is 443141100051.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1500011413442 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 12801619 + ... + 12813330.

It is an arithmetic number, because the mean of its divisors is an integer number (8337666225).

Almost surely, 2150001141344 is an apocalyptic number.

It is an amenable number.

150001141344 is an abundant number, since it is smaller than the sum of its proper divisors (250206837456).

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

150001141344 is a wasteful number, since it uses less digits than its factorization.

150001141344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25615023 (or 25615015 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 150001141344 its reverse (443141100051), we get a palindrome (593142241395).

The spelling of 150001141344 in words is "one hundred fifty billion, one million, one hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 5856 25614949 51229898 76844847 102459796 153689694 204919592 307379388 409839184 614758776 819678368 1229517552 1562511889 2459035104 3125023778 4687535667 6250047556 9375071334 12500095112 18750142668 25000190224 37500285336 50000380448 75000570672 150001141344