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21450213422144 = 26133433547751
BaseRepresentation
bin1001110000010010001000…
…10110011111010001000000
32210221121202020212102220022
410320021010112133101000
510302420014114002034
6113342031512433012
74342504166513453
oct470110426372100
983847666772808
1021450213422144
11691aa912a8611
1224a52410a8768
13bc7991c34000
145422a567149a
15272e81496b2e
hex13824459f440

21450213422144 has 112 divisors (see below), whose sum is σ = 47183114858880. Its totient is φ = 9669860928000.

The previous prime is 21450213422119. The next prime is 21450213422147. The reversal of 21450213422144 is 44122431205412.

It is a super-2 number, since 2×214502134221442 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21450213422147) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4272269 + ... + 7820019.

It is an arithmetic number, because the mean of its divisors is an integer number (421277811240).

Almost surely, 221450213422144 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 21450213422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23591557429440).

21450213422144 is an abundant number, since it is smaller than the sum of its proper divisors (25732901436736).

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

21450213422144 is an equidigital number, since it uses as much as digits as its factorization.

21450213422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547845 (or 3547809 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

Adding to 21450213422144 its reverse (44122431205412), we get a palindrome (65572644627556).

The spelling of 21450213422144 in words is "twenty-one trillion, four hundred fifty billion, two hundred thirteen million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 104 169 172 208 338 344 416 559 676 688 832 1118 1352 1376 2197 2236 2704 2752 4394 4472 5408 7267 8788 8944 10816 14534 17576 17888 29068 35152 35776 58136 70304 94471 116272 140608 188942 232544 377884 465088 755768 1511536 3023072 3547751 6046144 7095502 14191004 28382008 46120763 56764016 92241526 113528032 152553293 184483052 227056064 305106586 368966104 599569919 610213172 737932208 1199139838 1220426344 1475864416 1983192809 2398279676 2440852688 2951728832 3966385618 4796559352 4881705376 7794408947 7932771236 9593118704 9763410752 15588817894 15865542472 19186237408 25781506517 31177635788 31731084944 38372474816 51563013034 62355271576 63462169888 103126026068 124710543152 126924339776 206252052136 249421086304 335159584721 412504104272 498842172608 670319169442 825008208544 1340638338884 1650016417088 2681276677768 5362553355536 10725106711072 21450213422144