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111432420440 = 235112274672389
BaseRepresentation
bin110011111000111100…
…0111100110001011000
3101122121220202110210222
41213301320330301120
53311203144423230
6123105155255212
711023253642225
oct1476170746130
9348556673728
10111432420440
1143292772860
121971a5aa508
13a67b1ba273
14557153494c
152d72c436e5
hex19f1e3cc58

111432420440 has 128 divisors (see below), whose sum is σ = 275424364800. Its totient is φ = 40239137280.

The previous prime is 111432420431. The next prime is 111432420493. The reversal of 111432420440 is 44024234111.

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, 46642766 + ... + 46645154.

It is an arithmetic number, because the mean of its divisors is an integer number (2151752850).

Almost surely, 2111432420440 is an apocalyptic number.

111432420440 is a gapful number since it is divisible by the number (10) 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 111432420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137712182400).

111432420440 is an abundant number, since it is smaller than the sum of its proper divisors (163991944360).

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

111432420440 is a wasteful number, since it uses less digits than its factorization.

111432420440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3105 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 111432420440 its reverse (44024234111), we get a palindrome (155456654551).

The spelling of 111432420440 in words is "one hundred eleven billion, four hundred thirty-two million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 227 440 454 467 908 934 1135 1816 1868 2270 2335 2389 2497 3736 4540 4670 4778 4994 5137 9080 9340 9556 9988 10274 11945 12485 18680 19112 19976 20548 23890 24970 25685 26279 41096 47780 49940 51370 52558 95560 99880 102740 105116 106009 131395 205480 210232 212018 262790 424036 525580 530045 542303 848072 1051160 1060090 1084606 1115663 1166099 2120180 2169212 2231326 2332198 2711515 4240360 4338424 4462652 4664396 5423030 5578315 5830495 5965333 8925304 9328792 10846060 11156630 11660990 11930666 12272293 21692120 22313260 23321980 23861332 24544586 29826665 44626520 46643960 47722664 49089172 59653330 61361465 98178344 119306660 122722930 238613320 245445860 253255501 490891720 506511002 1013022004 1266277505 2026044008 2532555010 2785810511 5065110020 5571621022 10130220040 11143242044 13929052555 22286484088 27858105110 55716210220 111432420440