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144581087934 = 23223896016529
BaseRepresentation
bin1000011010100110110…
…1000101001010111110
3111211012002211020222200
42012221231011022332
54332100224303214
6150230350252330
713305565653543
oct2065155051276
9454162736880
10144581087934
1156353289328
122402bab70a6
13108319ba10a
146dd7c04bca
153b62ecad09
hex21a9b452be

144581087934 has 96 divisors (see below), whose sum is σ = 331152494400. Its totient is φ = 45497548800.

The previous prime is 144581087933. The next prime is 144581087971. The reversal of 144581087934 is 439780185441.

144581087934 is a `hidden beast` number, since 1 + 445 + 8 + 108 + 7 + 93 + 4 = 666.

144581087934 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144581087933) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22141182 + ... + 22147710.

It is an arithmetic number, because the mean of its divisors is an integer number (3449505150).

Almost surely, 2144581087934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144581087934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165576247200).

144581087934 is an abundant number, since it is smaller than the sum of its proper divisors (186571406466).

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

144581087934 is a wasteful number, since it uses less digits than its factorization.

144581087934 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7250 (or 7247 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 144581087934 in words is "one hundred forty-four billion, five hundred eighty-one million, eighty-seven thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 9 18 23 46 69 89 138 178 207 267 414 534 601 801 1202 1602 1803 2047 3606 4094 5409 6141 6529 10818 12282 13058 13823 18423 19587 27646 36846 39174 41469 53489 58761 82938 106978 117522 124407 150167 160467 248814 300334 320934 450501 481401 581081 901002 962802 1162162 1230247 1351503 1743243 2460494 2703006 3486486 3690741 3923929 5229729 7381482 7847858 10459458 11072223 11771787 13364863 22144446 23543574 26729726 35315361 40094589 70630722 80189178 90250367 120283767 180500734 240567534 270751101 349229681 541502202 698459362 812253303 1047689043 1624506606 2095378086 3143067129 6286134258 8032282663 16064565326 24096847989 48193695978 72290543967 144581087934