Search a number
-
+
40454211222544 = 24747307203912277
BaseRepresentation
bin10010011001010111110101…
…11000111011110000010000
312022020101101112110211020111
421030223322320323300100
520300300211033110134
6222012224051051104
711343502031532160
oct1114537270736020
9168211345424214
1040454211222544
1111987597661329
1246543695a0a94
131975a7b280682
149dbdcc3c65a0
154a2490a54c64
hex24cafae3bc10

40454211222544 has 160 divisors (see below), whose sum is σ = 91833562275840. Its totient is φ = 16903691380224.

The previous prime is 40454211222499. The next prime is 40454211222569. The reversal of 40454211222544 is 44522211245404.

40454211222544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 40454211222497 and 40454211222506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3295115734 + ... + 3295128010.

It is an arithmetic number, because the mean of its divisors is an integer number (573959764224).

Almost surely, 240454211222544 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 40454211222544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45916781137920).

40454211222544 is an abundant number, since it is smaller than the sum of its proper divisors (51379351053296).

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

40454211222544 is a wasteful number, since it uses less digits than its factorization.

40454211222544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14685 (or 14679 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 40.

Adding to 40454211222544 its reverse (44522211245404), we get a palindrome (84976422467948).

The spelling of 40454211222544 in words is "forty trillion, four hundred fifty-four billion, two hundred eleven million, two hundred twenty-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 47 56 94 112 188 307 329 376 614 658 752 1228 1316 2039 2149 2456 2632 4078 4298 4912 5264 8156 8596 12277 14273 14429 16312 17192 24554 28546 28858 32624 34384 49108 57092 57716 85939 95833 98216 101003 114184 115432 171878 191666 196432 202006 228368 230864 343756 383332 404012 577019 625973 670831 687512 766664 808024 1154038 1251946 1341662 1375024 1533328 1616048 2308076 2503892 2683324 3769039 4039133 4381811 4616152 5007784 5366648 7538078 8078266 8763622 9232304 10015568 10733296 15076156 16156532 17527244 25032803 26383273 29420731 30152312 32313064 35054488 50065606 52766546 58841462 60304624 64626128 70108976 100131212 105533092 117682924 175229621 177144833 200262424 205945117 211066184 235365848 350459242 354289666 400524848 411890234 422132368 470731696 700918484 708579332 823780468 1176541741 1240013831 1401836968 1417158664 1647560936 2353083482 2480027662 2803673936 2834317328 3295121872 4706166964 4960055324 7685070521 8235792187 9412333928 9920110648 15370141042 16471584374 18824667856 19840221296 30740282084 32943168748 53795493647 61480564168 65886337496 107590987294 122961128336 131772674992 215181974588 361198314487 430363949176 722396628974 860727898352 1444793257948 2528388201409 2889586515896 5056776402818 5779173031792 10113552805636 20227105611272 40454211222544