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2114142344220 = 2235415771489441
BaseRepresentation
bin11110110000111100101…
…101000001010000011100
321111002222012210201100110
4132300330231001100130
5234114230420003340
64255120143330020
7305512263264564
oct36607455012034
97432865721313
102114142344220
1174566a268475
122a1899bb0910
1312449400101a
1474479c7bda4
1539ed8ab6680
hex1ec3cb4141c

2114142344220 has 96 divisors (see below), whose sum is σ = 6074492590656. Its totient is φ = 549067161600.

The previous prime is 2114142344219. The next prime is 2114142344233. The reversal of 2114142344220 is 224432414112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 674700 + ... + 2164140.

It is an arithmetic number, because the mean of its divisors is an integer number (63275964486).

Almost surely, 22114142344220 is an apocalyptic number.

2114142344220 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 2114142344220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037246295328).

2114142344220 is an abundant number, since it is smaller than the sum of its proper divisors (3960350246436).

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

2114142344220 is a wasteful number, since it uses less digits than its factorization.

2114142344220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490071 (or 1490069 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 2114142344220 its reverse (224432414112), we get a palindrome (2338574758332).

The spelling of 2114142344220 in words is "two trillion, one hundred fourteen billion, one hundred forty-two million, three hundred forty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 577 615 820 1154 1230 1731 2308 2460 2885 3462 5770 6924 8655 11540 17310 23657 34620 47314 70971 94628 118285 141942 236570 283884 354855 473140 709710 1419420 1489441 2978882 4468323 5957764 7447205 8936646 14894410 17873292 22341615 29788820 44683230 61067081 89366460 122134162 183201243 244268324 305335405 366402486 610670810 732804972 859407457 916006215 1221341620 1718814914 1832012430 2578222371 3437629828 3664024860 4297037285 5156444742 8594074570 10312889484 12891111855 17188149140 25782223710 35235705737 51564447420 70471411474 105707117211 140942822948 176178528685 211414234422 352357057370 422828468844 528535586055 704714114740 1057071172110 2114142344220