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135423431323024 = 241317120157318737
BaseRepresentation
bin11110110010101010111001…
…100001001010110110010000
3122202111100112202212022201111
4132302222321201022312100
5120222234141404314044
61200004355425143104
740345006605265015
oct3662527141126620
9582440482768644
10135423431323024
113a171833555959
1213231b7518aa94
135a744b4504460
1425627599d170c
15109ca1a7c2b34
hex7b2ab984ad90

135423431323024 has 80 divisors (see below), whose sum is σ = 299191167758448. Its totient is φ = 58825793765376.

The previous prime is 135423431323001. The next prime is 135423431323087. The reversal of 135423431323024 is 420323134324531.

It can be written as a sum of positive squares in 8 ways, for example, as 21165888409600 + 114257542913424 = 4600640^2 + 10689132^2 .

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 15 ways as a sum of consecutive naturals, for example, 424715784 + ... + 425034520.

Almost surely, 2135423431323024 is an apocalyptic number.

It is an amenable number.

135423431323024 is an abundant number, since it is smaller than the sum of its proper divisors (163767736435424).

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

135423431323024 is a wasteful number, since it uses less digits than its factorization.

135423431323024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438932 (or 438926 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 40.

Adding to 135423431323024 its reverse (420323134324531), we get a palindrome (555746565647555).

The spelling of 135423431323024 in words is "one hundred thirty-five trillion, four hundred twenty-three billion, four hundred thirty-one million, three hundred twenty-three thousand, twenty-four".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 120157 240314 318737 480628 637474 961256 1274948 1562041 1922512 2042669 2549896 3124082 4085338 4143581 5099792 5418529 6248164 8170676 8287162 10837058 12496328 16341352 16574324 21674116 24992656 26554697 32682704 33148648 43348232 53109394 66297296 70440877 86696464 106218788 140881754 212437576 281763508 424875152 563527016 1127054032 38298481709 76596963418 153193926836 306387853672 497880262217 612775707344 651074189053 995760524434 1302148378106 1991521048868 2604296756212 3983042097736 5208593512424 7966084195472 8463964457689 10417187024848 16927928915378 33855857830756 67711715661512 135423431323024