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1450221034120 = 235237946742727
BaseRepresentation
bin10101000110100111111…
…010001101101010001000
312010122021101201122220121
4111012213322031222020
5142230023041042440
63030120005433024
7206526554254105
oct25064772155210
95118241648817
101450221034120
1150a042a6a571
121b509010b774
13a69a83b6c01
1450296435aac
1527acc11634a
hex151a7e8da88

1450221034120 has 128 divisors (see below), whose sum is σ = 3455430451200. Its totient is φ = 546657636096.

The previous prime is 1450221034103. The next prime is 1450221034121. The reversal of 1450221034120 is 214301220541.

It is not an unprimeable number, because it can be changed into a prime (1450221034121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33920197 + ... + 33962923.

It is an arithmetic number, because the mean of its divisors is an integer number (26995550400).

Almost surely, 21450221034120 is an apocalyptic number.

1450221034120 is a gapful number since it is divisible by the number (10) 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 1450221034120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727715225600).

1450221034120 is an abundant number, since it is smaller than the sum of its proper divisors (2005209417080).

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

1450221034120 is a wasteful number, since it uses less digits than its factorization.

1450221034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43307 (or 43303 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 1450221034120 its reverse (214301220541), we get a palindrome (1664522254661).

The spelling of 1450221034120 in words is "one trillion, four hundred fifty billion, two hundred twenty-one million, thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 23 40 46 79 92 115 158 184 230 316 395 460 467 632 790 920 934 1580 1817 1868 2335 3160 3634 3736 4670 7268 9085 9340 10741 14536 18170 18680 21482 36340 36893 42727 42964 53705 72680 73786 85454 85928 107410 147572 170908 184465 213635 214820 295144 341816 368930 427270 429640 737860 848539 854540 982721 1475720 1697078 1709080 1965442 3375433 3394156 3930884 4242695 4913605 6750866 6788312 7861768 8485390 9827210 13501732 16877165 16970780 19654420 19953509 27003464 33754330 33941560 39308840 39907018 67508660 77634959 79814036 99767545 135017320 155269918 159628072 199535090 310539836 388174795 399070180 458930707 621079672 776349590 798140360 917861414 1552699180 1576327211 1835722828 2294653535 3105398360 3152654422 3671445656 4589307070 6305308844 7881636055 9178614140 12610617688 15763272110 18357228280 31526544220 36255525853 63053088440 72511051706 145022103412 181277629265 290044206824 362555258530 725110517060 1450221034120