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4454051355222 = 23719229148916369
BaseRepresentation
bin100000011010000101000…
…1001100001101001010110
3120202210200111102102010020
41000310022021201221112
51040433344121331342
613250055110210010
7636536354564130
oct100641211415126
916683614372106
104454051355222
111467a52967177
125bb284953906
132640276393b1
14115811d14050
157acd7c650ec
hex40d0a261a56

4454051355222 has 128 divisors (see below), whose sum is σ = 10771198080000. Its totient is φ = 1199463800832.

The previous prime is 4454051355211. The next prime is 4454051355253. The reversal of 4454051355222 is 2225531504544.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 272094654 + ... + 272111022.

It is an arithmetic number, because the mean of its divisors is an integer number (84149985000).

Almost surely, 24454051355222 is an apocalyptic number.

4454051355222 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4454051355222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385599040000).

4454051355222 is an abundant number, since it is smaller than the sum of its proper divisors (6317146724778).

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

4454051355222 is a wasteful number, since it uses less digits than its factorization.

4454051355222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18118.

The product of its (nonzero) digits is 960000, while the sum is 42.

Adding to 4454051355222 its reverse (2225531504544), we get a palindrome (6679582859766).

The spelling of 4454051355222 in words is "four trillion, four hundred fifty-four billion, fifty-one million, three hundred fifty-five thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 114 133 229 266 399 458 687 798 1374 1489 1603 2978 3206 4351 4467 4809 8702 8934 9618 10423 13053 16369 20846 26106 28291 30457 31269 32738 49107 56582 60914 62538 84873 91371 98214 114583 169746 182742 198037 229166 311011 340981 343749 396074 594111 622022 681962 687498 933033 1022943 1188222 1866066 2045886 2177077 2386867 3748501 4354154 4773734 6478639 6531231 7160601 7497002 11245503 12957278 13062462 14321202 19435917 22491006 24373441 26239507 38871834 45350473 48746882 52479014 71221519 73120323 78718521 90700946 136051419 142443038 146240646 157437042 170614087 213664557 272102838 341228174 427329114 463095379 498550633 511842261 926190758 997101266 1023684522 1389286137 1495651899 2778572274 2991303798 3241667653 5581517989 6483335306 9725002959 11163035978 16744553967 19450005918 33489107934 39070625923 78141251846 106048841791 117211877769 212097683582 234423755538 318146525373 636293050746 742341892537 1484683785074 2227025677611 4454051355222