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2144040202420 = 2251973317534391
BaseRepresentation
bin11111001100110010110…
…000010011000010110100
321120222010211220021111221
4133030302300103002310
5240111443242434140
64320543010240124
7310621213011124
oct37146260230264
97528124807457
102144040202420
11757311887896
122a7642886044
1312724a18278c
1475ab48d8c84
153ab8876614a
hex1f332c130b4

2144040202420 has 96 divisors (see below), whose sum is σ = 4749711886080. Its totient is φ = 810722442240.

The previous prime is 2144040202411. The next prime is 2144040202471. The reversal of 2144040202420 is 242020404412.

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, 488278425 + ... + 488282815.

It is an arithmetic number, because the mean of its divisors is an integer number (49476165480).

Almost surely, 22144040202420 is an apocalyptic number.

2144040202420 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 2144040202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2374855943040).

2144040202420 is an abundant number, since it is smaller than the sum of its proper divisors (2605671683660).

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

2144040202420 is a wasteful number, since it uses less digits than its factorization.

2144040202420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6905 (or 6903 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 2144040202420 its reverse (242020404412), we get a palindrome (2386060606832).

The spelling of 2144040202420 in words is "two trillion, one hundred forty-four billion, forty million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 380 733 1466 1753 2932 3506 3665 4391 7012 7330 8765 8782 13927 14660 17530 17564 21955 27854 33307 35060 43910 55708 66614 69635 83429 87820 133228 139270 166535 166858 278540 333070 333716 417145 666140 834290 1284949 1668580 2569898 3218603 5139796 6424745 6437206 7697423 12849490 12874412 15394846 16093015 24414031 25698980 30789692 32186030 38487115 48828062 61153457 64372060 76974230 97656124 122070155 122306914 146251037 153948460 244140310 244613828 292502074 305767285 488280620 585004148 611534570 731255185 1223069140 1462510370 2925020740 5642211059 11284422118 22568844236 28211055295 56422110590 107202010121 112844221180 214404020242 428808040484 536010050605 1072020101210 2144040202420