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144042455540 = 225175324233299
BaseRepresentation
bin1000011000100110011…
…0010111000111110100
3111202210120021220020202
42012021212113013310
54324444332034130
6150101105420032
713256335445654
oct2061146270764
9452716256222
10144042455540
11560a7235895
1223abb63a618
1310777229b19
146d86474364
153b30a81145
hex21899971f4

144042455540 has 96 divisors (see below), whose sum is σ = 326559340800. Its totient is φ = 53166503936.

The previous prime is 144042455539. The next prime is 144042455567. The reversal of 144042455540 is 45554240441.

It is a junction number, because it is equal to n+sod(n) for n = 144042455494 and 144042455503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43660811 + ... + 43664109.

It is an arithmetic number, because the mean of its divisors is an integer number (3401659800).

Almost surely, 2144042455540 is an apocalyptic number.

144042455540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144042455540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163279670400).

144042455540 is an abundant number, since it is smaller than the sum of its proper divisors (182516885260).

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

144042455540 is a wasteful number, since it uses less digits than its factorization.

144042455540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5801 (or 5799 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 38.

Adding to 144042455540 its reverse (45554240441), we get a palindrome (189596695981).

The spelling of 144042455540 in words is "one hundred forty-four billion, forty-two million, four hundred fifty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 2423 3299 3604 4505 4846 6598 9010 9692 12115 13196 16495 18020 24230 32990 41191 48460 56083 65980 82382 112166 128419 164764 174847 205955 224332 256838 280415 349694 411910 513676 560830 642095 699388 823820 874235 1121660 1284190 1748470 2183123 2568380 2972399 3496940 4366246 5944798 7993477 8732492 10915615 11889596 14861995 15986954 21831230 29723990 31973908 39967385 43662460 59447980 79934770 135889109 159869540 271778218 423654281 543556436 679445545 847308562 1358891090 1694617124 2118271405 2717782180 4236542810 7202122777 8473085620 14404245554 28808491108 36010613885 72021227770 144042455540