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141332433144 = 23377311524171
BaseRepresentation
bin1000001110100000010…
…0011100100011111000
3111111210200220111101220
42003220010130203320
54303422100330034
6144532140312040
713132230601020
oct2035004344370
9444720814356
10141332433144
1154a36523961
1223483b42620
1310434944586
146baa592a80
153a22bbb749
hex20e811c8f8

141332433144 has 64 divisors (see below), whose sum is σ = 409338589440. Its totient is φ = 39827531520.

The previous prime is 141332433103. The next prime is 141332433149. The reversal of 141332433144 is 441334233141.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141332433149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5749822 + ... + 5774349.

It is an arithmetic number, because the mean of its divisors is an integer number (6395915460).

Almost surely, 2141332433144 is an apocalyptic number.

141332433144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

141332433144 is an abundant number, since it is smaller than the sum of its proper divisors (268006156296).

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

141332433144 is a wasteful number, since it uses less digits than its factorization.

141332433144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11524260 (or 11524256 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

Adding to 141332433144 its reverse (441334233141), we get a palindrome (582666666285).

The spelling of 141332433144 in words is "one hundred forty-one billion, three hundred thirty-two million, four hundred thirty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 219 292 438 511 584 876 1022 1533 1752 2044 3066 4088 6132 12264 11524171 23048342 34572513 46096684 69145026 80669197 92193368 138290052 161338394 242007591 276580104 322676788 484015182 645353576 841264483 968030364 1682528966 1936060728 2523793449 3365057932 5047586898 5888851381 6730115864 10095173796 11777702762 17666554143 20190347592 23555405524 35333108286 47110811048 70666216572 141332433144