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21411312242144 = 251169478755951
BaseRepresentation
bin1001101111001001101011…
…01010010000110111100000
32210210220100011102202001212
410313210311222100313200
510301300331413222034
6113312115425245252
74336626164112506
oct467446552206740
983726304382055
1021411312242144
116905539629280
1224997a5193828
13bc410270b2c6
14540454db6676
15271e561b12ce
hex137935a90de0

21411312242144 has 48 divisors (see below), whose sum is σ = 45992283998976. Its totient is φ = 9731012592000.

The previous prime is 21411312242119. The next prime is 21411312242147. The reversal of 21411312242144 is 44124221311412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 21411312242144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21411312242147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1932632 + ... + 6823319.

It is an arithmetic number, because the mean of its divisors is an integer number (958172583312).

Almost surely, 221411312242144 is an apocalyptic number.

It is an amenable number.

21411312242144 is an abundant number, since it is smaller than the sum of its proper divisors (24580971756832).

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

21411312242144 is a wasteful number, since it uses less digits than its factorization.

21411312242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8762919 (or 8762911 counting only the distinct ones).

The product of its digits is 12288, while the sum is 32.

Adding to 21411312242144 its reverse (44124221311412), we get a palindrome (65535533553556).

The spelling of 21411312242144 in words is "twenty-one trillion, four hundred eleven billion, three hundred twelve million, two hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 6947 13894 27788 55576 76417 111152 152834 222304 305668 611336 1222672 2445344 8755951 17511902 35023804 70047608 96315461 140095216 192630922 280190432 385261844 770523688 1541047376 3082094752 60827591597 121655183194 243310366388 486620732776 669103507567 973241465552 1338207015134 1946482931104 2676414030268 5352828060536 10705656121072 21411312242144