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1144020001408 = 2716394757901
BaseRepresentation
bin10000101001011100111…
…001111110001010000000
311001100220201110112110021
4100221130321332022000
5122220423110021113
62233315554543224
7145436611365034
oct20513471761200
94040821415407
101144020001408
114011a3514649
12165875b97b14
1383b5a96319b
143d5299141c4
151eb5a35e48d
hex10a5ce7e280

1144020001408 has 64 divisors (see below), whose sum is σ = 2295545634720. Its totient is φ = 567890611200.

The previous prime is 1144020001337. The next prime is 1144020001409. The reversal of 1144020001408 is 8041000204411.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1144020001409) 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, 19729258 + ... + 19787158.

Almost surely, 21144020001408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1144020001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1147772817360).

1144020001408 is an abundant number, since it is smaller than the sum of its proper divisors (1151525633312).

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

1144020001408 is an equidigital number, since it uses as much as digits as its factorization.

1144020001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59025 (or 59013 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

Adding to 1144020001408 its reverse (8041000204411), we get a palindrome (9185020205819).

The spelling of 1144020001408 in words is "one trillion, one hundred forty-four billion, twenty million, one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 64 128 163 326 652 947 1304 1894 2608 3788 5216 7576 10432 15152 20864 30304 57901 60608 115802 121216 154361 231604 308722 463208 617444 926416 1234888 1852832 2469776 3705664 4939552 7411328 9437863 9879104 18875726 19758208 37751452 54832247 75502904 109664494 151005808 219328988 302011616 438657976 604023232 877315952 1208046464 1754631904 3509263808 7018527616 8937656261 17875312522 35750625044 71501250088 143002500176 286005000352 572010000704 1144020001408