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1331204040 = 2332517217517
BaseRepresentation
bin100111101011000…
…1000111111001000
310102202220011122100
41033112020333020
510211242012130
6340032153400
744663022225
oct11726107710
93382804570
101331204040
11623480331
12311998860
13182a41cca
14c8b2494c
157bd05c60
hex4f588fc8

1331204040 has 96 divisors (see below), whose sum is σ = 4580929080. Its totient is φ = 334104576.

The previous prime is 1331204027. The next prime is 1331204059. The reversal of 1331204040 is 404021331.

It can be written as a sum of positive squares in 4 ways, for example, as 1329477444 + 1726596 = 36462^2 + 1314^2 .

It is a super-2 number, since 2×13312040402 = 3544208392224643200, which contains 22 as substring.

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

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, 102639 + ... + 114878.

Almost surely, 21331204040 is an apocalyptic number.

1331204040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1331204040 is an abundant number, since it is smaller than the sum of its proper divisors (3249725040).

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

1331204040 is a wasteful number, since it uses less digits than its factorization.

1331204040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217551 (or 217544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1331204040 is about 36485.6689674179. The cubic root of 1331204040 is about 1100.0562064944.

Adding to 1331204040 its reverse (404021331), we get a palindrome (1735225371).

The spelling of 1331204040 in words is "one billion, three hundred thirty-one million, two hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 217517 435034 652551 870068 1087585 1305102 1740136 1957653 2175170 2610204 3262755 3697789 3915306 4350340 5220408 6525510 7395578 7830612 8700680 9788265 11093367 13051020 14791156 15661224 18488945 19576530 22186734 26102040 29582312 33280101 36977890 39153060 44373468 55466835 66560202 73955780 78306120 88746936 110933670 133120404 147911560 166400505 221867340 266240808 332801010 443734680 665602020 1331204040