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4040031420 = 22325233672659
BaseRepresentation
bin1111000011001101…
…1111110010111100
3101102120000212020100
43300303133302330
531233222001140
61504515521100
7202054462155
oct36063376274
911376025210
104040031420
111793546447
12948bb9190
134c4cc9649
142a47b492c
15189a31530
hexf0cdfcbc

4040031420 has 144 divisors (see below), whose sum is σ = 12827243520. Its totient is φ = 1027306368.

The previous prime is 4040031407. The next prime is 4040031433. The reversal of 4040031420 is 241300404.

It is an interprime number because it is at equal distance from previous prime (4040031407) and next prime (4040031433).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4040031393 and 4040031402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1518051 + ... + 1520709.

It is an arithmetic number, because the mean of its divisors is an integer number (89078080).

Almost surely, 24040031420 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 4040031420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413621760).

4040031420 is an abundant number, since it is smaller than the sum of its proper divisors (8787212100).

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

4040031420 is a wasteful number, since it uses less digits than its factorization.

4040031420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4040031420 is about 63561.2414919658. The cubic root of 4040031420 is about 1592.6789772121.

Adding to 4040031420 its reverse (241300404), we get a palindrome (4281331824).

The spelling of 4040031420 in words is "four billion, forty million, thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 90 92 115 138 180 207 230 276 345 367 414 460 690 734 828 1035 1101 1380 1468 1835 2070 2202 2659 3303 3670 4140 4404 5318 5505 6606 7340 7977 8441 10636 11010 13212 13295 15954 16515 16882 22020 23931 25323 26590 31908 33030 33764 39885 42205 47862 50646 53180 61157 66060 75969 79770 84410 95724 101292 119655 122314 126615 151938 159540 168820 183471 239310 244628 253230 303876 305785 366942 379845 478620 506460 550413 611570 733884 759690 917355 975853 1100826 1223140 1519380 1834710 1951706 2201652 2752065 2927559 3669420 3903412 4879265 5504130 5855118 8782677 9758530 11008260 11710236 14637795 17565354 19517060 22444619 29275590 35130708 43913385 44889238 58551180 67333857 87826770 89778476 112223095 134667714 175653540 202001571 224446190 269335428 336669285 404003142 448892380 673338570 808006284 1010007855 1346677140 2020015710 4040031420