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40345544052 = 2232111974631117
BaseRepresentation
bin100101100100110010…
…000010010101110100
310212010202020222211100
4211210302002111310
51130111424402202
630311241010100
72625541315602
oct454462022564
9125122228740
1040345544052
111612400a440
12799b783930
133a5c8384b8
141d4a438872
1510b1ee041c
hex964c82574

40345544052 has 144 divisors (see below), whose sum is σ = 112162482432. Its totient is φ = 12126723840.

The previous prime is 40345544051. The next prime is 40345544059. The reversal of 40345544052 is 25044554304.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40345543998 and 40345544016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40345544051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36118998 + ... + 36120114.

It is an arithmetic number, because the mean of its divisors is an integer number (778906128).

Almost surely, 240345544052 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 40345544052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56081241216).

40345544052 is an abundant number, since it is smaller than the sum of its proper divisors (71816938380).

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

40345544052 is a wasteful number, since it uses less digits than its factorization.

40345544052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1798 (or 1793 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 36.

The spelling of 40345544052 in words is "forty billion, three hundred forty-five million, five hundred forty-four thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 197 198 394 396 463 591 788 926 1117 1182 1389 1773 1852 2167 2234 2364 2778 3351 3546 4167 4334 4468 5093 5556 6501 6702 7092 8334 8668 10053 10186 12287 13002 13404 15279 16668 19503 20106 20372 24574 26004 30558 36861 39006 40212 45837 49148 61116 73722 78012 91211 91674 110583 147444 182422 183348 220049 221166 273633 364844 440098 442332 517171 547266 660147 820899 880196 1003321 1034342 1094532 1320294 1551513 1641798 1980441 2006642 2068684 2420539 2640588 3009963 3103026 3283596 3960882 4013284 4654539 4841078 5688881 6019926 6206052 7261617 7921764 9029889 9309078 9682156 11377762 12039852 14523234 17066643 18059778 18618156 21784851 22755524 29046468 34133286 36119556 43569702 51199929 68266572 87139404 101882687 102399858 203765374 204799716 305648061 407530748 611296122 916944183 1120709557 1222592244 1833888366 2241419114 3362128671 3667776732 4482838228 6724257342 10086386013 13448514684 20172772026 40345544052