Search a number
-
+
144440342203456 = 26131991605754331
BaseRepresentation
bin100000110101111000100011…
…010010011100110001000000
3200221102100202210110212220201
4200311320203102130301000
5122413002310101002311
61231110551022414544
742265320221206555
oct4065704322346100
9627370683425821
10144440342203456
1142028894692822
121424960a431454
136279886a83270
142794d425d8a2c
1511a73589209c1
hex835e2349cc40

144440342203456 has 112 divisors (see below), whose sum is σ = 310247933833600. Its totient is φ = 66324422799360.

The previous prime is 144440342203427. The next prime is 144440342203481. The reversal of 144440342203456 is 654302243044441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2658498211 + ... + 2658552541.

It is an arithmetic number, because the mean of its divisors is an integer number (2770070837800).

Almost surely, 2144440342203456 is an apocalyptic number.

144440342203456 is a gapful number since it is divisible by the number (16) 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 144440342203456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155123966916800).

144440342203456 is an abundant number, since it is smaller than the sum of its proper divisors (165807591630144).

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

144440342203456 is a wasteful number, since it uses less digits than its factorization.

144440342203456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70612 (or 70602 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 46.

Adding to 144440342203456 its reverse (654302243044441), we get a palindrome (798742585247897).

The spelling of 144440342203456 in words is "one hundred forty-four trillion, four hundred forty billion, three hundred forty-two million, two hundred three thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 199 208 398 416 796 832 1592 2587 3184 5174 6368 10348 12736 16057 20696 32114 41392 54331 64228 82784 108662 128456 165568 208741 217324 256912 417482 434648 513824 706303 834964 869296 1027648 1412606 1669928 1738592 2825212 3195343 3339856 3477184 5650424 6390686 6679712 10811869 11300848 12781372 13359424 21623738 22601696 25562744 41539459 43247476 45203392 51125488 83078918 86494952 102250976 140554297 166157836 172989904 204501952 281108594 332315672 345979808 562217188 664631344 691959616 872392867 1124434376 1329262688 1744785734 2248868752 2658525376 3489571468 4497737504 6979142936 8995475008 11341107271 13958285872 22682214542 27916571744 45364429084 55833143488 90728858168 173606180533 181457716336 347212361066 362915432672 694424722132 725830865344 1388849444264 2256880346929 2777698888528 4513760693858 5555397777056 9027521387716 11110795554112 18055042775432 36110085550864 72220171101728 144440342203456