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144122433432 = 2336722694973
BaseRepresentation
bin1000011000111001011…
…1011100111110011000
3111210000010210012021220
42012032113130332120
54330130320332212
6150113043532040
713261326320445
oct2061627347630
9453003705256
10144122433432
11561383a141a
1223b2238a020
131078a980113
146d92d329cc
153b37acd38c
hex218e5dcf98

144122433432 has 96 divisors (see below), whose sum is σ = 367197591600. Its totient is φ = 47138378496.

The previous prime is 144122433419. The next prime is 144122433437. The reversal of 144122433432 is 234334221441.

It is a super-2 number, since 2×1441224334322 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 144122433393 and 144122433402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144122433437) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28978498 + ... + 28983470.

Almost surely, 2144122433432 is an apocalyptic number.

144122433432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

144122433432 is an abundant number, since it is smaller than the sum of its proper divisors (223075158168).

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

144122433432 is a wasteful number, since it uses less digits than its factorization.

144122433432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5385 (or 5314 counting only the distinct ones).

The product of its digits is 55296, while the sum is 33.

Adding to 144122433432 its reverse (234334221441), we get a palindrome (378456654873).

The spelling of 144122433432 in words is "one hundred forty-four billion, one hundred twenty-two million, four hundred thirty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 67 134 201 268 269 402 536 538 804 807 1076 1608 1614 2152 3228 4489 4973 6456 8978 9946 13467 14919 17956 18023 19892 26934 29838 35912 36046 39784 53868 54069 59676 72092 107736 108138 119352 144184 216276 333191 432552 666382 999573 1207541 1332764 1337737 1999146 2415082 2665528 2675474 3622623 3998292 4013211 4830164 5350948 7245246 7996584 8026422 9660328 10701896 14490492 16052844 22323797 28980984 32105688 44647594 66971391 89295188 89628379 133942782 178590376 179256758 267885564 268885137 358513516 535771128 537770274 717027032 1075540548 2151081096 6005101393 12010202786 18015304179 24020405572 36030608358 48040811144 72061216716 144122433432