Search a number
-
+
144412254400 = 2652891014131
BaseRepresentation
bin1000011001111110100…
…1000010000011000000
3111210202100010121220211
42012133221002003000
54331224014120100
6150201515443504
713301445623521
oct2063751020300
9453670117824
10144412254400
1156276a53187
1223ba3456594
1310805a25a0b
146dbd616848
153b5327b1ba
hex219fa420c0

144412254400 has 84 divisors (see below), whose sum is σ = 359337391560. Its totient is φ = 57115801600.

The previous prime is 144412254391. The next prime is 144412254407. The reversal of 144412254400 is 4452214441.

It is not an unprimeable number, because it can be changed into a prime (144412254407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364666 + ... + 649465.

It is an arithmetic number, because the mean of its divisors is an integer number (4277826090).

Almost surely, 2144412254400 is an apocalyptic number.

144412254400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144412254400 is an abundant number, since it is smaller than the sum of its proper divisors (214925137160).

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

144412254400 is a wasteful number, since it uses less digits than its factorization.

144412254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1014242 (or 1014227 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 31.

Adding to 144412254400 its reverse (4452214441), we get a palindrome (148864468841).

The spelling of 144412254400 in words is "one hundred forty-four billion, four hundred twelve million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 89 100 160 178 200 320 356 400 445 712 800 890 1424 1600 1780 2225 2848 3560 4450 5696 7120 8900 14240 17800 28480 35600 71200 142400 1014131 2028262 4056524 5070655 8113048 10141310 16226096 20282620 25353275 32452192 40565240 50706550 64904384 81130480 90257659 101413100 162260960 180515318 202826200 324521920 361030636 405652400 451288295 722061272 811304800 902576590 1444122544 1622609600 1805153180 2256441475 2888245088 3610306360 4512882950 5776490176 7220612720 9025765900 14441225440 18051531800 28882450880 36103063600 72206127200 144412254400