Search a number
-
+
1240134120144 = 243225733509893
BaseRepresentation
bin10010000010111101110…
…000001111001011010000
311101120000002010122201200
4102002331300033023100
5130304243313321034
62345413150031200
7155411452044453
oct22027560171320
94346002118650
101240134120144
11438a35420627
1218041a4a8500
138cc373991aa
144404684949a
15223d3366a99
hex120bdc0f2d0

1240134120144 has 60 divisors (see below), whose sum is σ = 3484157718756. Its totient is φ = 411769552896.

The previous prime is 1240134120139. The next prime is 1240134120157. The reversal of 1240134120144 is 4410214310421.

1240134120144 is a `hidden beast` number, since 1 + 240 + 1 + 3 + 412 + 0 + 1 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1221334419600 + 18799700544 = 1105140^2 + 137112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16717939 + ... + 16791954.

Almost surely, 21240134120144 is an apocalyptic number.

It is an amenable number.

1240134120144 is an abundant number, since it is smaller than the sum of its proper divisors (2244023598612).

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

1240134120144 is a wasteful number, since it uses less digits than its factorization.

1240134120144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33510164 (or 33510155 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1240134120144 its reverse (4410214310421), we get a palindrome (5650348430565).

The spelling of 1240134120144 in words is "one trillion, two hundred forty billion, one hundred thirty-four million, one hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1542 2056 2313 3084 4112 4626 6168 9252 12336 18504 37008 33509893 67019786 100529679 134039572 201059358 268079144 301589037 402118716 536158288 603178074 804237432 1206356148 1608474864 2412712296 4825424592 8612042501 17224085002 25836127503 34448170004 51672255006 68896340008 77508382509 103344510012 137792680016 155016765018 206689020024 310033530036 413378040048 620067060072 1240134120144