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145706419476 = 223216361247381
BaseRepresentation
bin1000011110110011000…
…1111000010100010100
3111221002112100000122200
42013230301320110110
54341401320410401
6150534150124500
713345512062532
oct2075461702424
9457075300580
10145706419476
11568805255a2
12242a4950730
1310980b99b77
1470a3459152
153bcbbb7686
hex21ecc78514

145706419476 has 36 divisors (see below), whose sum is σ = 368337449844. Its totient is φ = 48565641600.

The previous prime is 145706419457. The next prime is 145706419483. The reversal of 145706419476 is 674914607541.

It is a happy number.

145706419476 is a `hidden beast` number, since 1 + 4 + 570 + 64 + 1 + 9 + 4 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51533540100 + 94172879376 = 227010^2 + 306876^2 .

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

It is a super-2 number, since 2×1457064194762 (a number of 23 digits) contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 465306 + ... + 712686.

It is an arithmetic number, because the mean of its divisors is an integer number (10231595829).

Almost surely, 2145706419476 is an apocalyptic number.

It is an amenable number.

145706419476 is an abundant number, since it is smaller than the sum of its proper divisors (222631030368).

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

145706419476 is a wasteful number, since it uses less digits than its factorization.

145706419476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263752 (or 263747 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 145706419476 in words is "one hundred forty-five billion, seven hundred six million, four hundred nineteen thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 16361 32722 49083 65444 98166 147249 196332 247381 294498 494762 588996 742143 989524 1484286 2226429 2968572 4452858 8905716 4047400541 8094801082 12142201623 16189602164 24284403246 36426604869 48568806492 72853209738 145706419476