Search a number
-
+
40522105620 = 22325478357709
BaseRepresentation
bin100101101111010011…
…100100001100010100
310212121001111020202200
4211233103210030110
51130442124334440
630340545204500
72633114133423
oct455723441424
9125531436680
1040522105620
1116204743797
127a2a930730
133a8a2a72b9
141d65a792ba
1510c2769c30
hex96f4e4314

40522105620 has 144 divisors (see below), whose sum is σ = 127046949120. Its totient is φ = 10448379648.

The previous prime is 40522105609. The next prime is 40522105621. The reversal of 40522105620 is 2650122504.

40522105620 is a `hidden beast` number, since 4 + 0 + 5 + 22 + 10 + 5 + 620 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40522105621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 673326 + ... + 731034.

It is an arithmetic number, because the mean of its divisors is an integer number (882270480).

Almost surely, 240522105620 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 40522105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63523474560).

40522105620 is an abundant number, since it is smaller than the sum of its proper divisors (86524843500).

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

40522105620 is a wasteful number, since it uses less digits than its factorization.

40522105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57854 (or 57849 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 40522105620 in words is "forty billion, five hundred twenty-two million, one hundred five thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 83 90 94 141 166 180 188 235 249 282 332 415 423 470 498 564 705 747 830 846 940 996 1245 1410 1494 1660 1692 2115 2490 2820 2988 3735 3901 4230 4980 7470 7802 8460 11703 14940 15604 19505 23406 35109 39010 46812 57709 58515 70218 78020 115418 117030 140436 173127 175545 230836 234060 288545 346254 351090 519381 577090 692508 702180 865635 1038762 1154180 1731270 2077524 2596905 2712323 3462540 4789847 5193810 5424646 8136969 9579694 10387620 10849292 13561615 14369541 16273938 19159388 23949235 24410907 27123230 28739082 32547876 40684845 43108623 47898470 48821814 54246460 57478164 71847705 81369690 86217246 95796940 97643628 122054535 143695410 162739380 172434492 215543115 225122809 244109070 287390820 431086230 450245618 488218140 675368427 862172460 900491236 1125614045 1350736854 2026105281 2251228090 2701473708 3376842135 4052210562 4502456180 6753684270 8104421124 10130526405 13507368540 20261052810 40522105620