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5012051414000 = 245310735965239
BaseRepresentation
bin100100011101111010110…
…0010110100101111110000
3122202010222110222101111212
41020323311202310233300
51124104140130222000
614354301000055252
71025052210043001
oct110736542645760
918663873871455
105012051414000
1116626653a5244
1268b451a64528
132a4832a8a977
141348281491a8
158a59574ac35
hex48ef58b4bf0

5012051414000 has 160 divisors (see below), whose sum is σ = 12266664883200. Its totient is φ = 1980521299200.

The previous prime is 5012051413981. The next prime is 5012051414021. The reversal of 5012051414000 is 4141502105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76793381 + ... + 76858619.

It is an arithmetic number, because the mean of its divisors is an integer number (76666655520).

Almost surely, 25012051414000 is an apocalyptic number.

5012051414000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5012051414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6133332441600).

5012051414000 is an abundant number, since it is smaller than the sum of its proper divisors (7254613469200).

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

5012051414000 is a wasteful number, since it uses less digits than its factorization.

5012051414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65728 (or 65712 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

Adding to 5012051414000 its reverse (4141502105), we get a palindrome (5016192916105).

The spelling of 5012051414000 in words is "five trillion, twelve billion, fifty-one million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 107 125 200 214 250 359 400 428 500 535 718 856 1000 1070 1436 1712 1795 2000 2140 2675 2872 3590 4280 5350 5744 7180 8560 8975 10700 13375 14360 17950 21400 26750 28720 35900 38413 42800 44875 53500 65239 71800 76826 89750 107000 130478 143600 153652 179500 192065 214000 260956 307304 326195 359000 384130 521912 614608 652390 718000 768260 960325 1043824 1304780 1536520 1630975 1920650 2609560 3073040 3261950 3841300 4801625 5219120 6523900 6980573 7682600 8154875 9603250 13047800 13961146 15365200 16309750 19206500 23420801 26095600 27922292 32619500 34902865 38413000 46841602 55844584 65239000 69805730 76826000 93683204 111689168 117104005 130478000 139611460 174514325 187366408 234208010 279222920 349028650 374732816 468416020 558445840 585520025 698057300 872571625 936832040 1171040050 1396114600 1745143250 1873664080 2342080100 2506025707 2792229200 2927600125 3490286500 4684160200 5012051414 5855200250 6980573000 9368320400 10024102828 11710400500 12530128535 13961146000 20048205656 23420801000 25060257070 40096411312 46841602000 50120514140 62650642675 100241028280 125301285350 200482056560 250602570700 313253213375 501205141400 626506426750 1002410282800 1253012853500 2506025707000 5012051414000