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150451520000 = 2954470161
BaseRepresentation
bin1000110000011110011…
…1000000001000000000
3112101100020002002212112
42030013213000020000
54431111042120000
6153041054114452
713604220551045
oct2140747001000
9471306062775
10150451520000
1158895a62881
12251a9aaba28
1311258c8bc62
1473d37271cc
153da856d235
hex23079c0200

150451520000 has 100 divisors (see below), whose sum is σ = 375642042006. Its totient is φ = 60180480000.

The previous prime is 150451519991. The next prime is 150451520027. The reversal of 150451520000 is 25154051.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 21185384704 + 129266135296 = 145552^2 + 359536^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 84920 + ... + 555080.

Almost surely, 2150451520000 is an apocalyptic number.

150451520000 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 150451520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187821021003).

150451520000 is an abundant number, since it is smaller than the sum of its proper divisors (225190522006).

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

150451520000 is an frugal number, since it uses more digits than its factorization.

150451520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470199 (or 470168 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 150451520000 its reverse (25154051), we get a palindrome (150476674051).

The spelling of 150451520000 in words is "one hundred fifty billion, four hundred fifty-one million, five hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1250 1280 1600 2000 2500 2560 3200 4000 5000 6400 8000 10000 12800 16000 20000 32000 40000 64000 80000 160000 320000 470161 940322 1880644 2350805 3761288 4701610 7522576 9403220 11754025 15045152 18806440 23508050 30090304 37612880 47016100 58770125 60180608 75225760 94032200 117540250 120361216 150451520 188064400 235080500 240722432 293850625 300903040 376128800 470161000 587701250 601806080 752257600 940322000 1175402500 1203612160 1504515200 1880644000 2350805000 3009030400 3761288000 4701610000 6018060800 7522576000 9403220000 15045152000 18806440000 30090304000 37612880000 75225760000 150451520000