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3123114140000 = 25541135113757
BaseRepresentation
bin101101011100101000000…
…110111110000101100000
3102001120022012020120221002
4231130220012332011200
5402132114204440000
610350423330451132
7441431452115621
oct55345006760540
912046265216832
103123114140000
11aa4561570318
12425344733aa8
1319867bc5335a
14ab233a77a48
155638ccd78d5
hex2d7281be160

3123114140000 has 120 divisors (see below), whose sum is σ = 7684564689648. Its totient is φ = 1249044800000.

The previous prime is 3123114139903. The next prime is 3123114140009. The reversal of 3123114140000 is 414113213.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3123114140009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 227013122 + ... + 227026878.

Almost surely, 23123114140000 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 3123114140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3842282344824).

3123114140000 is an abundant number, since it is smaller than the sum of its proper divisors (4561450549648).

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

3123114140000 is a wasteful number, since it uses less digits than its factorization.

3123114140000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25138 (or 25115 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3123114140000 its reverse (414113213), we get a palindrome (3123528253213).

The spelling of 3123114140000 in words is "three trillion, one hundred twenty-three billion, one hundred fourteen million, one hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 11351 13757 20000 22702 27514 45404 55028 56755 68785 90808 110056 113510 137570 181616 220112 227020 275140 283775 343925 363232 440224 454040 550280 567550 687850 908080 1100560 1135100 1375700 1418875 1719625 1816160 2201120 2270200 2751400 2837750 3439250 4540400 5502800 5675500 6878500 7094375 8598125 9080800 11005600 11351000 13757000 14188750 17196250 22702000 27514000 28377500 34392500 45404000 55028000 56755000 68785000 113510000 137570000 156155707 227020000 275140000 312311414 624622828 780778535 1249245656 1561557070 2498491312 3123114140 3903892675 4996982624 6246228280 7807785350 12492456560 15615570700 19519463375 24984913120 31231141400 39038926750 62462282800 78077853500 97597316875 124924565600 156155707000 195194633750 312311414000 390389267500 624622828000 780778535000 1561557070000 3123114140000