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145412101332 = 223217922565503
BaseRepresentation
bin1000011101101100111…
…1001001010011010100
3111220100000112010001200
42013123033021103110
54340300444220312
6150445033552500
713335306316251
oct2073317112324
9456300463050
10145412101332
115673a381a63
1224222275730
1310934c0b314
147076324428
153bb0e2c0dc
hex21db3c94d4

145412101332 has 36 divisors (see below), whose sum is σ = 369622955520. Its totient is φ = 48199912272.

The previous prime is 145412101319. The next prime is 145412101409. The reversal of 145412101332 is 233101214541.

145412101332 is a `hidden beast` number, since 14 + 541 + 2 + 101 + 3 + 3 + 2 = 666.

145412101332 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1454121013322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145412101296 and 145412101305.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 11276308 + ... + 11289195.

It is an arithmetic number, because the mean of its divisors is an integer number (10267304320).

Almost surely, 2145412101332 is an apocalyptic number.

145412101332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145412101332 is an abundant number, since it is smaller than the sum of its proper divisors (224210854188).

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

145412101332 is a wasteful number, since it uses less digits than its factorization.

145412101332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22565692 (or 22565687 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 145412101332 its reverse (233101214541), we get a palindrome (378513315873).

The spelling of 145412101332 in words is "one hundred forty-five billion, four hundred twelve million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 537 716 1074 1611 2148 3222 6444 22565503 45131006 67696509 90262012 135393018 203089527 270786036 406179054 812358108 4039225037 8078450074 12117675111 16156900148 24235350222 36353025333 48470700444 72706050666 145412101332