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132150441201440 = 2552694293065521
BaseRepresentation
bin11110000011000010101100…
…000110101100111100100000
3122022220110101110112000012112
4132003002230012230330200
5114310123100421421230
61145021024040014452
736556361061263414
oct3603025406547440
9568813343460175
10132150441201440
113911a7619a3352
12129a3783461428
13589796b90493c
14248c188c4ad44
151042809c56d95
hex7830ac1acf20

132150441201440 has 48 divisors (see below), whose sum is σ = 312206677949880. Its totient is φ = 52859963043840.

The previous prime is 132150441201299. The next prime is 132150441201473. The reversal of 132150441201440 is 44102144051231.

It can be written as a sum of positive squares in 4 ways, for example, as 76271646756496 + 55878794444944 = 8733364^2 + 7475212^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 132150441201397 and 132150441201406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41575880 + ... + 44641400.

Almost surely, 2132150441201440 is an apocalyptic number.

132150441201440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132150441201440 is an abundant number, since it is smaller than the sum of its proper divisors (180056236748440).

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

132150441201440 is a wasteful number, since it uses less digits than its factorization.

132150441201440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334965 (or 3334957 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 132150441201440 its reverse (44102144051231), we get a palindrome (176252585252671).

The spelling of 132150441201440 in words is "one hundred thirty-two trillion, one hundred fifty billion, four hundred forty-one million, two hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 269429 538858 1077716 1347145 2155432 2694290 3065521 4310864 5388580 6131042 8621728 10777160 12262084 15327605 21554320 24524168 30655210 43108640 49048336 61310420 98096672 122620840 245241680 490483360 825940257509 1651880515018 3303761030036 4129701287545 6607522060072 8259402575090 13215044120144 16518805150180 26430088240288 33037610300360 66075220600720 132150441201440