Search a number
-
+
21151201411344 = 243628977005899
BaseRepresentation
bin1001100111100101001011…
…10110001100000100010000
32202220000221121000110112210
410303302211312030010100
510233020130030130334
6112552421111352120
74312060326406104
oct463624566140420
982800847013483
1021151201411344
1168151a0871214
1224572b2682640
13ba571b9c86c4
14531a1b831904
1526a2d08e55e9
hex133ca5d8c110

21151201411344 has 40 divisors (see below), whose sum is σ = 54641480176800. Its totient is φ = 7050287369728.

The previous prime is 21151201411337. The next prime is 21151201411349. The reversal of 21151201411344 is 44311410215112.

It is a super-2 number, since 2×211512014113442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21151201411349) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 483894 + ... + 6522005.

It is an arithmetic number, because the mean of its divisors is an integer number (1366037004420).

Almost surely, 221151201411344 is an apocalyptic number.

21151201411344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21151201411344 is an abundant number, since it is smaller than the sum of its proper divisors (33490278765456).

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

21151201411344 is a wasteful number, since it uses less digits than its factorization.

21151201411344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7068807 (or 7068801 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 21151201411344 its reverse (44311410215112), we get a palindrome (65462611626456).

The spelling of 21151201411344 in words is "twenty-one trillion, one hundred fifty-one billion, two hundred one million, four hundred eleven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 62897 125794 188691 251588 377382 503176 754764 1006352 1509528 3019056 7005899 14011798 21017697 28023596 42035394 56047192 84070788 112094384 168141576 336283152 440650029403 881300058806 1321950088209 1762600117612 2643900176418 3525200235224 5287800352836 7050400470448 10575600705672 21151201411344