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144200241440 = 2551229733321
BaseRepresentation
bin1000011001001100000…
…0010001000100100000
3111210012120012020210222
42012103000101010200
54330310230211230
6150124503342212
713263262554113
oct2062300210440
9453176166728
10144200241440
1156178305762
1223b44451968
13107a0b23868
146d9d3c857a
153b3e84c6e5
hex2193011120

144200241440 has 48 divisors (see below), whose sum is σ = 340950730680. Its totient is φ = 57633085440.

The previous prime is 144200241433. The next prime is 144200241443. The reversal of 144200241440 is 44142002441.

It can be written as a sum of positive squares in 4 ways, for example, as 109632507664 + 34567733776 = 331108^2 + 185924^2 .

It is not an unprimeable number, because it can be changed into a prime (144200241443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 170021 + ... + 563300.

Almost surely, 2144200241440 is an apocalyptic number.

144200241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144200241440 is an abundant number, since it is smaller than the sum of its proper divisors (196750489240).

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

144200241440 is a wasteful number, since it uses less digits than its factorization.

144200241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734565 (or 734557 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 144200241440 its reverse (44142002441), we get a palindrome (188342243881).

The spelling of 144200241440 in words is "one hundred forty-four billion, two hundred million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 1229 2458 4916 6145 9832 12290 19664 24580 39328 49160 98320 196640 733321 1466642 2933284 3666605 5866568 7333210 11733136 14666420 23466272 29332840 58665680 117331360 901251509 1802503018 3605006036 4506257545 7210012072 9012515090 14420024144 18025030180 28840048288 36050060360 72100120720 144200241440