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3121420440 = 233539765521
BaseRepresentation
bin1011101000001101…
…0001100010011000
322001112111120212110
42322003101202120
522343040423230
61233422512320
7140231431065
oct27203214230
98045446773
103121420440
111361a62416
127314356a0
133a98b7b58
142187b1c6c
1513407a4b0
hexba0d1898

3121420440 has 64 divisors (see below), whose sum is σ = 9387992160. Its totient is φ = 830269440.

The previous prime is 3121420427. The next prime is 3121420457. The reversal of 3121420440 is 440241213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14880 + ... + 80400.

Almost surely, 23121420440 is an apocalyptic number.

3121420440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3121420440 is an abundant number, since it is smaller than the sum of its proper divisors (6266571720).

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

3121420440 is a wasteful number, since it uses less digits than its factorization.

3121420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65932 (or 65928 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 3121420440 is about 55869.6737058666. The cubic root of 3121420440 is about 1461.4504319933.

Adding to 3121420440 its reverse (440241213), we get a palindrome (3561661653).

The spelling of 3121420440 in words is "three billion, one hundred twenty-one million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 397 794 1191 1588 1985 2382 3176 3970 4764 5955 7940 9528 11910 15880 23820 47640 65521 131042 196563 262084 327605 393126 524168 655210 786252 982815 1310420 1572504 1965630 2620840 3931260 7862520 26011837 52023674 78035511 104047348 130059185 156071022 208094696 260118370 312142044 390177555 520236740 624284088 780355110 1040473480 1560710220 3121420440