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4130021401000 = 2353111013717391
BaseRepresentation
bin111100000110011000011…
…101010110000110101000
3112121211022021220020012121
4330012120131112012220
51020131240434313000
612441150003521024
7604245531453055
oct74063035260650
915554267806177
104130021401000
111352594458680
12568513989174
1323c5c8254281
14103c735ba02c
1572670b49b1a
hex3c1987561a8

4130021401000 has 128 divisors (see below), whose sum is σ = 10647205470720. Its totient is φ = 1486956000000.

The previous prime is 4130021400991. The next prime is 4130021401007. The reversal of 4130021401000 is 1041200314.

It is not an unprimeable number, because it can be changed into a prime (4130021401007) 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 31 ways as a sum of consecutive naturals, for example, 747696 + ... + 2969695.

It is an arithmetic number, because the mean of its divisors is an integer number (83181292740).

Almost surely, 24130021401000 is an apocalyptic number.

4130021401000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4130021401000 is an abundant number, since it is smaller than the sum of its proper divisors (6517184069720).

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

4130021401000 is a wasteful number, since it uses less digits than its factorization.

4130021401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3717524 (or 3717510 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 4130021401000 its reverse (1041200314), we get a palindrome (4131062601314).

The spelling of 4130021401000 in words is "four trillion, one hundred thirty billion, twenty-one million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 101 110 125 200 202 220 250 275 404 440 500 505 550 808 1000 1010 1100 1111 1375 2020 2200 2222 2525 2750 4040 4444 5050 5500 5555 8888 10100 11000 11110 12625 20200 22220 25250 27775 44440 50500 55550 101000 111100 138875 222200 277750 555500 1111000 3717391 7434782 14869564 18586955 29739128 37173910 40891301 74347820 81782602 92934775 148695640 163565204 185869550 204456505 327130408 371739100 375456491 408913010 464673875 743478200 750912982 817826020 929347750 1022282525 1501825964 1635652040 1858695500 1877282455 2044565050 3003651928 3717391000 3754564910 4089130100 4130021401 5111412625 7509129820 8178260200 8260042802 9386412275 10222825250 15018259640 16520085604 18772824550 20445650500 20650107005 33040171208 37545649100 40891301000 41300214010 46932061375 75091298200 82600428020 93864122750 103250535025 165200856040 187728245500 206501070050 375456491000 413002140100 516252675125 826004280200 1032505350250 2065010700500 4130021401000