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44472100025144 = 231117471126156167
BaseRepresentation
bin10100001110010011101111…
…01110010111001100111000
312211110111021010002212001002
422013021313232113030320
521312112330101301034
6234330111204144132
712240001045050611
oct1207116756271470
9184414233085032
1044472100025144
111319656a096080
124ba2ba8398048
131ba79162452ac
14ada665488c08
15521c4c250e7e
hex287277b97338

44472100025144 has 128 divisors (see below), whose sum is σ = 98376355768320. Its totient is φ = 18618714470400.

The previous prime is 44472100025053. The next prime is 44472100025179. The reversal of 44472100025144 is 44152000127444.

It is a junction number, because it is equal to n+sod(n) for n = 44472100025098 and 44472100025107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 791755349 + ... + 791811515.

It is an arithmetic number, because the mean of its divisors is an integer number (768565279440).

Almost surely, 244472100025144 is an apocalyptic number.

44472100025144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44472100025144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49188177884160).

44472100025144 is an abundant number, since it is smaller than the sum of its proper divisors (53904255743176).

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

44472100025144 is a wasteful number, since it uses less digits than its factorization.

44472100025144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67509 (or 67505 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 38.

The spelling of 44472100025144 in words is "forty-four trillion, four hundred seventy-two billion, one hundred million, twenty-five thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 17 22 34 44 47 68 88 94 136 187 188 374 376 517 748 799 1034 1496 1598 2068 3196 4136 6392 8789 11261 17578 22522 35156 45044 56167 70312 90088 112334 123871 191437 224668 247742 382874 449336 495484 529267 617837 765748 954839 990968 1058534 1235674 1531496 1909678 2105807 2117068 2471348 2639849 3819356 4211614 4234136 4942696 5279698 5821937 7638712 8423228 8997539 10503229 10559396 11643874 16846456 17995078 21006458 21118792 23287748 29038339 35990156 42012916 44877433 46575496 58076678 71980312 84025832 89754866 98972929 116153356 179509732 197945858 232306712 359019464 395891716 493651763 632496587 791783432 987303526 1264993174 1974607052 2529986348 3949214104 5059972696 6957462457 10752441979 13914924914 21504883958 27829849828 29727339589 43009767916 55659699656 59454679178 86019535832 118276861769 118909358356 236553723538 237818716712 327000735479 473107447076 505364773013 654001470958 946214894152 1010729546026 1308002941916 2021459092052 2616005883832 4042918184104 5559012503143 11118025006286 22236050012572 44472100025144