Search a number
-
+
3120423401040 = 2435111181978561
BaseRepresentation
bin101101011010000111101…
…110100111011001010000
3102001022100200010212222120
4231122013232213121100
5402111111342313130
610345300330534240
7441305000163621
oct55320756473120
912038320125876
103120423401040
11aa340072a310
12424913597380
1319834066001a
14ab05a575a48
1556281981910
hex2d687ba7650

3120423401040 has 80 divisors (see below), whose sum is σ = 10552704601536. Its totient is φ = 756466278400.

The previous prime is 3120423401023. The next prime is 3120423401041. The reversal of 3120423401040 is 401043240213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 3120423401040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3120423401041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590986641 + ... + 590991920.

Almost surely, 23120423401040 is an apocalyptic number.

3120423401040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3120423401040 is an abundant number, since it is smaller than the sum of its proper divisors (7432281200496).

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

3120423401040 is a wasteful number, since it uses less digits than its factorization.

3120423401040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181978588 (or 1181978582 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3120423401040 its reverse (401043240213), we get a palindrome (3521466641253).

The spelling of 3120423401040 in words is "three trillion, one hundred twenty billion, four hundred twenty-three million, four hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 1181978561 2363957122 3545935683 4727914244 5909892805 7091871366 9455828488 11819785610 13001764171 14183742732 17729678415 18911656976 23639571220 26003528342 28367485464 35459356830 39005292513 47279142440 52007056684 56734970928 65008820855 70918713660 78010585026 94558284880 104014113368 130017641710 141837427320 156021170052 195026462565 208028226736 260035283420 283674854640 312042340104 390052925130 520070566840 624084680208 780105850260 1040141133680 1560211700520 3120423401040