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144923121453248 = 2623833073863789
BaseRepresentation
bin100000111100111010001011…
…001011001000100011000000
3201000010111220111210211212222
4200330322023023020203000
5122443410023043000443
61232120432441310212
742345231023135345
oct4074721313104300
9630114814724788
10144923121453248
11421a4606a16756
12143070a4195368
1362b32652698c8
1427b04606b87cc
1511b4bb27c4468
hex83ce8b2c88c0

144923121453248 has 112 divisors (see below), whose sum is σ = 304690195434240. Its totient is φ = 68252918621184.

The previous prime is 144923121453217. The next prime is 144923121453281. The reversal of 144923121453248 is 842354121329441.

It is a super-2 number, since 2×1449231214532482 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 144923121453248.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35576138 + ... + 39439926.

It is an arithmetic number, because the mean of its divisors is an integer number (2720448173520).

Almost surely, 2144923121453248 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 144923121453248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152345097717120).

144923121453248 is an abundant number, since it is smaller than the sum of its proper divisors (159767073980992).

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

144923121453248 is a wasteful number, since it uses less digits than its factorization.

144923121453248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3864214 (or 3864204 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 53.

The spelling of 144923121453248 in words is "one hundred forty-four trillion, nine hundred twenty-three billion, one hundred twenty-one million, four hundred fifty-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 83 92 166 184 307 332 368 614 664 736 1228 1328 1472 1909 2456 2656 3818 4912 5312 7061 7636 9824 14122 15272 19648 25481 28244 30544 50962 56488 61088 101924 112976 122176 203848 225952 407696 451904 586063 815392 1172126 1630784 2344252 3863789 4688504 7727578 9377008 15455156 18754016 30910312 37508032 61820624 88867147 123641248 177734294 247282496 320694487 355468588 641388974 710937176 1186183223 1282777948 1421874352 2372366446 2565555896 2843748704 4744732892 5131111792 5687497408 7375973201 9489465784 10262223584 14751946402 18978931568 20524447168 27282214129 29503892804 37957863136 54564428258 59007785608 75915726272 98453207509 109128856516 118015571216 196906415018 218257713032 236031142432 393812830036 436515426064 472062284864 787625660072 873030852128 1575251320144 1746061704256 2264423772707 3150502640288 4528847545414 6301005280576 9057695090828 18115390181656 36230780363312 72461560726624 144923121453248