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132444941046 = 231143316972731
BaseRepresentation
bin111101101011001010…
…1010110101011110110
3110122212022112010012220
41323112111112223312
54132221401103141
6140502214423210
712366052265235
oct1732625265366
9418768463186
10132444941046
1151195797570
1221803661b06
13c649597002
1465a60a6b1c
1536a2815766
hex1ed6556af6

132444941046 has 64 divisors (see below), whose sum is σ = 289914944256. Its totient is φ = 40003891200.

The previous prime is 132444941033. The next prime is 132444941081. The reversal of 132444941046 is 640149444231.

It is a super-3 number, since 3×1324449410463 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132444940989 and 132444941007.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48495501 + ... + 48498231.

It is an arithmetic number, because the mean of its divisors is an integer number (4529921004).

Almost surely, 2132444941046 is an apocalyptic number.

132444941046 is an abundant number, since it is smaller than the sum of its proper divisors (157470003210).

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

132444941046 is a wasteful number, since it uses less digits than its factorization.

132444941046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4877.

The product of its (nonzero) digits is 331776, while the sum is 42.

The spelling of 132444941046 in words is "one hundred thirty-two billion, four hundred forty-four million, nine hundred forty-one thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 433 866 1299 1697 2598 2731 3394 4763 5091 5462 8193 9526 10182 14289 16386 18667 28578 30041 37334 56001 60082 90123 112002 180246 734801 1182523 1469602 2204403 2365046 3547569 4408806 4634507 7095138 8082811 9269014 13007753 13903521 16165622 24248433 26015506 27807042 39023259 48496866 50979577 78046518 101959154 152938731 305877462 2006741531 4013483062 6020224593 12040449186 22074156841 44148313682 66222470523 132444941046