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4212344241140 = 225743880779451
BaseRepresentation
bin111101010011000011010…
…010000011101111110100
3112220200210111211210211212
4331103003102003233310
51023003340111204030
612543042500020552
7613221550164260
oct75230322035764
915820714753755
104212344241140
111384499565952
12580469691758
132472b769a2b9
14107c42a4b0a0
157488ceec595
hex3d4c3483bf4

4212344241140 has 96 divisors (see below), whose sum is σ = 10346038585344. Its totient is φ = 1410467587200.

The previous prime is 4212344241109. The next prime is 4212344241167. The reversal of 4212344241140 is 411424432124.

It is a junction number, because it is equal to n+sod(n) for n = 4212344241097 and 4212344241106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52978415 + ... + 53057865.

It is an arithmetic number, because the mean of its divisors is an integer number (107771235264).

Almost surely, 24212344241140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212344241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5173019292672).

4212344241140 is an abundant number, since it is smaller than the sum of its proper divisors (6133694344204).

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

4212344241140 is a wasteful number, since it uses less digits than its factorization.

4212344241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88317 (or 88315 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 32.

Adding to 4212344241140 its reverse (411424432124), we get a palindrome (4623768673264).

The spelling of 4212344241140 in words is "four trillion, two hundred twelve billion, three hundred forty-four million, two hundred forty-one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 8807 17614 35228 44035 61649 79451 88070 123298 158902 176140 246596 308245 317804 378701 397255 556157 616490 757402 794510 1112314 1232980 1514804 1589020 1893505 2224628 2650907 2780785 3416393 3787010 5301814 5561570 6832786 7574020 10603628 11123140 13254535 13665572 17081965 23914751 26509070 34163930 47829502 53018140 68327860 95659004 119573755 239147510 478295020 699724957 1399449914 2798899828 3498624785 4898074699 6997249570 9796149398 13994499140 19592298796 24490373495 30088173151 48980746990 60176346302 97961493980 120352692604 150440865755 210617212057 300881731510 421234424114 601763463020 842468848228 1053086060285 2106172120570 4212344241140