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2422124114040 = 233451993756629
BaseRepresentation
bin100011001111110001110…
…110001111000001111000
322120112220222211122220000
4203033301312033001320
5304141002233122130
65052413005433000
7336664331162211
oct43176166170170
98515828748800
102422124114040
11854242a10554
1233151056b760
1314753665c047
14853350a0408
1543011d6e260
hex233f1d8f078

2422124114040 has 160 divisors (see below), whose sum is σ = 8181940140000. Its totient is φ = 642653865216.

The previous prime is 2422124114021. The next prime is 2422124114087. The reversal of 2422124114040 is 404114212242.

2422124114040 is a `hidden beast` number, since 2 + 4 + 2 + 212 + 41 + 1 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2422124113995 and 2422124114013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1233555 + ... + 2523074.

It is an arithmetic number, because the mean of its divisors is an integer number (51137125875).

Almost surely, 22422124114040 is an apocalyptic number.

2422124114040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2422124114040 is an abundant number, since it is smaller than the sum of its proper divisors (5759816025960).

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

2422124114040 is a wasteful number, since it uses less digits than its factorization.

2422124114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3756851 (or 3756838 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 2422124114040 its reverse (404114212242), we get a palindrome (2826238326282).

The spelling of 2422124114040 in words is "two trillion, four hundred twenty-two billion, one hundred twenty-four million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 199 216 270 324 360 398 405 540 597 648 796 810 995 1080 1194 1592 1620 1791 1990 2388 2985 3240 3582 3980 4776 5373 5970 7164 7960 8955 10746 11940 14328 16119 17910 21492 23880 26865 32238 35820 42984 53730 64476 71640 80595 107460 128952 161190 214920 322380 644760 3756629 7513258 11269887 15026516 18783145 22539774 30053032 33809661 37566290 45079548 56349435 67619322 75132580 90159096 101428983 112698870 135238644 150265160 169048305 202857966 225397740 270477288 304286949 338096610 405715932 450795480 507144915 608573898 676193220 747569171 811431864 1014289830 1217147796 1352386440 1495138342 1521434745 2028579660 2242707513 2434295592 2990276684 3042869490 3737845855 4057159320 4485415026 5980553368 6085738980 6728122539 7475691710 8970830052 11213537565 12171477960 13456245078 14951383420 17941660104 20184367617 22427075130 26912490156 29902766840 33640612695 40368735234 44854150260 53824980312 60553102851 67281225390 80737470468 89708300520 100921838085 121106205702 134562450780 161474940936 201843676170 242212411404 269124901560 302765514255 403687352340 484424822808 605531028510 807374704680 1211062057020 2422124114040