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2431403040 = 253511241863
BaseRepresentation
bin1001000011101100…
…0100010000100000
320021110010001221110
42100323010100200
514434414344130
61041133223320
7114152404413
oct22073042040
96243101843
102431403040
111038511100
1257a331b40
132c9962431
14190cb5b7a
15e36caab0
hex90ec4420

2431403040 has 144 divisors (see below), whose sum is σ = 8418682944. Its totient is φ = 589416960.

The previous prime is 2431403021. The next prime is 2431403081. The reversal of 2431403040 is 403041342.

It is a junction number, because it is equal to n+sod(n) for n = 2431402998 and 2431403016.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37149 + ... + 79011.

It is an arithmetic number, because the mean of its divisors is an integer number (58463076).

Almost surely, 22431403040 is an apocalyptic number.

2431403040 is a gapful number since it is divisible by the number (20) 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 2431403040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4209341472).

2431403040 is an abundant number, since it is smaller than the sum of its proper divisors (5987279904).

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

2431403040 is a wasteful number, since it uses less digits than its factorization.

2431403040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41903 (or 41884 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2431403040 is about 49309.2591710725. The cubic root of 2431403040 is about 1344.6801227486.

Adding to 2431403040 its reverse (403041342), we get a palindrome (2834444382).

The spelling of 2431403040 in words is "two billion, four hundred thirty-one million, four hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 121 132 160 165 176 220 240 242 264 330 352 363 440 480 484 528 605 660 726 880 968 1056 1210 1320 1452 1760 1815 1936 2420 2640 2904 3630 3872 4840 5280 5808 7260 9680 11616 14520 19360 29040 41863 58080 83726 125589 167452 209315 251178 334904 418630 460493 502356 627945 669808 837260 920986 1004712 1255890 1339616 1381479 1674520 1841972 2009424 2302465 2511780 2762958 3349040 3683944 4018848 4604930 5023560 5065423 5525916 6698080 6907395 7367888 9209860 10047120 10130846 11051832 13814790 14735776 15196269 18419720 20094240 20261692 22103664 25327115 27629580 30392538 36839440 40523384 44207328 50654230 55259160 60785076 73678880 75981345 81046768 101308460 110518320 121570152 151962690 162093536 202616920 221036640 243140304 303925380 405233840 486280608 607850760 810467680 1215701520 2431403040