Search a number
-
+
21441151404252 = 2235641231114891
BaseRepresentation
bin1001110000000001010000…
…01101101000100011011100
32210220202100201002020100000
410320000220031220203130
510302242434224414002
6113333532354134300
74342033501602306
oct470005015504334
983822321066300
1021441151404252
116917160aa8428
1224a3532281390
13bc6b7967b448
14541a85d14976
15272b00b1961c
hex1380283688dc

21441151404252 has 144 divisors (see below), whose sum is σ = 56321642168064. Its totient is φ = 7132333824000.

The previous prime is 21441151404227. The next prime is 21441151404293. The reversal of 21441151404252 is 25240415114412.

It is a happy number.

21441151404252 is a `hidden beast` number, since 2 + 1 + 4 + 41 + 151 + 40 + 425 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1439865727 + ... + 1439880617.

It is an arithmetic number, because the mean of its divisors is an integer number (391122515056).

Almost surely, 221441151404252 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 21441151404252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28160821084032).

21441151404252 is an abundant number, since it is smaller than the sum of its proper divisors (34880490763812).

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

21441151404252 is a wasteful number, since it uses less digits than its factorization.

21441151404252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17862 (or 17848 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

Adding to 21441151404252 its reverse (25240415114412), we get a palindrome (46681566518664).

The spelling of 21441151404252 in words is "twenty-one trillion, four hundred forty-one billion, one hundred fifty-one million, four hundred four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 641 972 1282 1923 2311 2564 3846 4622 5769 6933 7692 9244 11538 13866 14891 17307 20799 23076 27732 29782 34614 41598 44673 51921 59564 62397 69228 83196 89346 103842 124794 134019 155763 178692 187191 207684 249588 268038 311526 374382 402057 536076 561573 623052 748764 804114 1123146 1206171 1481351 1608228 2246292 2412342 2962702 3618513 4444053 4824684 5925404 7237026 8888106 9545131 13332159 14474052 17776212 19090262 26664318 28635393 34413101 38180524 39996477 53328636 57270786 68826202 79992954 85906179 103239303 114541572 119989431 137652404 159985908 171812358 206478606 239978862 257718537 309717909 343624716 359968293 412957212 479957724 515437074 619435818 719936586 773155611 929153727 1030874148 1238871636 1439873172 1546311222 1858307454 2319466833 2787461181 3092622444 3716614908 4638933666 5574922362 8362383543 9277867332 11149844724 16724767086 22058797741 33449534172 44117595482 66176393223 88235190964 132352786446 198529179669 264705572892 397058359338 595587539007 794116718676 1191175078014 1786762617021 2382350156028 3573525234042 5360287851063 7147050468084 10720575702126 21441151404252