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144434024240 = 245111031593491
BaseRepresentation
bin1000011010000011110…
…0000100111100110000
3111210210212002122112012
42012200330010330300
54331300102233430
6150204014222052
713302131643452
oct2064074047460
9453725078465
10144434024240
1156288272190
1223baa7b4928
131080a3a888c
146dc24822d2
153b5512b695
hex21a0f04f30

144434024240 has 80 divisors (see below), whose sum is σ = 369894110976. Its totient is φ = 52011513600.

The previous prime is 144434024177. The next prime is 144434024243. The reversal of 144434024240 is 42420434441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1444340242402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 144434024197 and 144434024206.

It is not an unprimeable number, because it can be changed into a prime (144434024243) 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, 706106 + ... + 887385.

Almost surely, 2144434024240 is an apocalyptic number.

144434024240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144434024240 is an abundant number, since it is smaller than the sum of its proper divisors (225460086736).

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

144434024240 is a wasteful number, since it uses less digits than its factorization.

144434024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593618 (or 1593612 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

Adding to 144434024240 its reverse (42420434441), we get a palindrome (186854458681).

The spelling of 144434024240 in words is "one hundred forty-four billion, four hundred thirty-four million, twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 103 110 176 206 220 412 440 515 824 880 1030 1133 1648 2060 2266 4120 4532 5665 8240 9064 11330 18128 22660 45320 90640 1593491 3186982 6373964 7967455 12747928 15934910 17528401 25495856 31869820 35056802 63739640 70113604 87642005 127479280 140227208 164129573 175284010 280454416 328259146 350568020 656518292 701136040 820647865 1313036584 1402272080 1641295730 1805425303 2626073168 3282591460 3610850606 6565182920 7221701212 9027126515 13130365840 14443402424 18054253030 28886804848 36108506060 72217012120 144434024240