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144434133140 = 225113717743751
BaseRepresentation
bin1000011010000011110…
…0011111100010010100
3111210210212022011220112
42012200330133202110
54331300114230030
6150204020422152
713302132606113
oct2064074374224
9453725264815
10144434133140
1156288336a90
1223baa847958
131080a41630b
146dc24adc7a
153b5514da95
hex21a0f1f894

144434133140 has 48 divisors (see below), whose sum is σ = 339828338304. Its totient is φ = 51102000000.

The previous prime is 144434133127. The next prime is 144434133149. The reversal of 144434133140 is 41331434441.

It is a super-2 number, since 2×1444341331402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144434133097 and 144434133106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144434133149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8863736 + ... + 8880015.

It is an arithmetic number, because the mean of its divisors is an integer number (7079757048).

Almost surely, 2144434133140 is an apocalyptic number.

144434133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434133140 is an abundant number, since it is smaller than the sum of its proper divisors (195394205164).

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

144434133140 is a wasteful number, since it uses less digits than its factorization.

144434133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17743808 (or 17743806 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 144434133140 its reverse (41331434441), we get a palindrome (185765567581).

The spelling of 144434133140 in words is "one hundred forty-four billion, four hundred thirty-four million, one hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 110 148 185 220 370 407 740 814 1628 2035 4070 8140 17743751 35487502 70975004 88718755 177437510 195181261 354875020 390362522 656518787 780725044 975906305 1313037574 1951812610 2626075148 3282593935 3903625220 6565187870 7221706657 13130375740 14443413314 28886826628 36108533285 72217066570 144434133140