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144302221211104 = 25111492753999907
BaseRepresentation
bin100000110011110111111010…
…101000101011010111100000
3200220221011020220110111002101
4200303313322220223113200
5122403221422112223404
61230523305242300144
742252330364145635
oct4063677250532740
9626834226414071
10144302221211104
1141a85256a16970
12142268a1ab7654
136269844584b18
14278c39c76c18c
1511a3972b622a4
hex833dfaa2b5e0

144302221211104 has 96 divisors (see below), whose sum is σ = 312016280688000. Its totient is φ = 65148686615040.

The previous prime is 144302221211089. The next prime is 144302221211167. The reversal of 144302221211104 is 401112122203441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1444315519 + ... + 1444415425.

It is an arithmetic number, because the mean of its divisors is an integer number (3250169590500).

Almost surely, 2144302221211104 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 144302221211104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156008140344000).

144302221211104 is an abundant number, since it is smaller than the sum of its proper divisors (167714059476896).

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

144302221211104 is a wasteful number, since it uses less digits than its factorization.

144302221211104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127616 (or 127608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 144302221211104 its reverse (401112122203441), we get a palindrome (545414343414545).

The spelling of 144302221211104 in words is "one hundred forty-four trillion, three hundred two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 149 176 298 352 596 1192 1639 2384 3278 4768 6556 13112 26224 27539 52448 55078 99907 110156 199814 220312 302929 399628 440624 605858 799256 881248 1098977 1211716 1598512 2197954 2423432 3197024 4103311 4395908 4846864 8206622 8791816 9693728 14886143 16413244 17583632 29772286 32826488 35167264 45136421 59544572 65652976 90272842 119089144 131305952 163747573 180545684 238178288 327495146 361091368 476356576 654990292 722182736 1309980584 1444365472 2619961168 2751338873 5239922336 5502677746 11005355492 22010710984 30264727603 44021421968 60529455206 88042843936 121058910412 242117820824 409949492077 484235641648 819898984154 968471283296 1639797968308 3279595936616 4509444412847 6559191873232 9018888825694 13118383746464 18037777651388 36075555302776 72151110605552 144302221211104