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3114122440 = 2351113241879
BaseRepresentation
bin1011100110011101…
…1011110011001000
322001000202210220011
42321213123303020
522334203404230
61233002241304
7140112414112
oct27147336310
98030683804
103114122440
111358928310
1272aab6234
133a8231100
142178323b2
151335d7e2a
hexb99dbcc8

3114122440 has 96 divisors (see below), whose sum is σ = 8277163200. Its totient is φ = 1045274880.

The previous prime is 3114122411. The next prime is 3114122471. The reversal of 3114122440 is 442214113.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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, 53421 + ... + 95299.

It is an arithmetic number, because the mean of its divisors is an integer number (86220450).

Almost surely, 23114122440 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 3114122440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4138581600).

3114122440 is an abundant number, since it is smaller than the sum of its proper divisors (5163040760).

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

3114122440 is a wasteful number, since it uses less digits than its factorization.

3114122440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41927 (or 41910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 3114122440 is about 55804.3227716276. The cubic root of 3114122440 is about 1460.3105675720.

Adding to 3114122440 its reverse (442214113), we get a palindrome (3556336553).

The spelling of 3114122440 in words is "three billion, one hundred fourteen million, one hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 169 220 260 286 338 440 520 572 676 715 845 1144 1352 1430 1690 1859 2860 3380 3718 5720 6760 7436 9295 14872 18590 37180 41879 74360 83758 167516 209395 335032 418790 460669 544427 837580 921338 1088854 1675160 1842676 2177708 2303345 2722135 3685352 4355416 4606690 5444270 5988697 7077551 9213380 10888540 11977394 14155102 18426760 21777080 23954788 28310204 29943485 35387755 47909576 56620408 59886970 70775510 77853061 119773940 141551020 155706122 239547880 283102040 311412244 389265305 622824488 778530610 1557061220 3114122440