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2142425553000 = 233535021142231
BaseRepresentation
bin11111001011010010100…
…000111001100001101000
321120210222022122120220120
4133023102200321201220
5240100141420144000
64320114450523240
7310533205505325
oct37132240714150
97523868576816
102142425553000
1175666340a887
122a7271b96520
131270507bab15
14759a02adb4c
153aae1b216a0
hex1f2d2839868

2142425553000 has 128 divisors (see below), whose sum is σ = 6685746013440. Its totient is φ = 571195680000.

The previous prime is 2142425552977. The next prime is 2142425553007. The reversal of 2142425553000 is 3555242412.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (2142425553007) 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, 14991885 + ... + 15134115.

It is an arithmetic number, because the mean of its divisors is an integer number (52232390730).

Almost surely, 22142425553000 is an apocalyptic number.

2142425553000 is a gapful number since it is divisible by the number (20) 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 2142425553000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3342873006720).

2142425553000 is an abundant number, since it is smaller than the sum of its proper divisors (4543320460440).

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

2142425553000 is a wasteful number, since it uses less digits than its factorization.

2142425553000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147276 (or 147262 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

The spelling of 2142425553000 in words is "two trillion, one hundred forty-two billion, four hundred twenty-five million, five hundred fifty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5021 10042 15063 20084 25105 30126 40168 50210 60252 75315 100420 120504 125525 142231 150630 200840 251050 284462 301260 376575 426693 502100 568924 602520 627625 711155 753150 853386 1004200 1137848 1255250 1422310 1506300 1706772 1882875 2133465 2510500 2844620 3012600 3413544 3555775 3765750 4266930 5021000 5689240 7111550 7531500 8533860 10667325 14223100 15063000 17067720 17778875 21334650 28446200 35557750 42669300 53336625 71115500 85338600 106673250 142231000 213346500 426693000 714141851 1428283702 2142425553 2856567404 3570709255 4284851106 5713134808 7141418510 8569702212 10712127765 14282837020 17139404424 17853546275 21424255530 28565674040 35707092550 42848511060 53560638825 71414185100 85697022120 89267731375 107121277650 142828370200 178535462750 214242555300 267803194125 357070925500 428485110600 535606388250 714141851000 1071212776500 2142425553000