Search a number
-
+
144040233240100 = 22521440402332401
BaseRepresentation
bin100000110000000011111010…
…111011111000011000100100
3200220000010000111212121022001
4200300003322323320120210
5122334423344202140400
61230203100351015044
742224364154142251
oct4060037273703044
9626003014777261
10144040233240100
11419941355a766a
12141a3b6680a484
13624ac219b3682
14277d827b90428
15119bc3c6a1a6a
hex8300faef8624

144040233240100 has 18 divisors (see below), whose sum is σ = 312567306131234. Its totient is φ = 57616093296000.

The previous prime is 144040233240077. The next prime is 144040233240133. The reversal of 144040233240100 is 1042332040441.

It can be written as a sum of positive squares in 3 ways, for example, as 45352062547236 + 98688170692864 = 6734394^2 + 9934192^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 720201166101 + ... + 720201166300.

Almost surely, 2144040233240100 is an apocalyptic number.

144040233240100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144040233240100 is an abundant number, since it is smaller than the sum of its proper divisors (168527072891134).

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

144040233240100 is a wasteful number, since it uses less digits than its factorization.

144040233240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440402332415 (or 1440402332408 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 144040233240100 its reverse (1042332040441), we get a palindrome (145082565280541).

The spelling of 144040233240100 in words is "one hundred forty-four trillion, forty billion, two hundred thirty-three million, two hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1440402332401 2880804664802 5761609329604 7202011662005 14404023324010 28808046648020 36010058310025 72020116620050 144040233240100