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2114411420 = 2251131273137
BaseRepresentation
bin111111000000111…
…0101101110011100
312110100122020012002
41332001311232130
513312242131140
6545451101432
7103253125532
oct17601655634
95410566162
102114411420
11995591660
124b0141878
13279095624
14160b5c152
15c5962415
hex7e075b9c

2114411420 has 144 divisors (see below), whose sum is σ = 5110820064. Its totient is φ = 728524800.

The previous prime is 2114411401. The next prime is 2114411477. The reversal of 2114411420 is 241144112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2114411392 and 2114411401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15433592 + ... + 15433728.

It is an arithmetic number, because the mean of its divisors is an integer number (35491806).

Almost surely, 22114411420 is an apocalyptic number.

2114411420 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 2114411420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555410032).

2114411420 is an abundant number, since it is smaller than the sum of its proper divisors (2996408644).

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

2114411420 is a wasteful number, since it uses less digits than its factorization.

2114411420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2114411420 is about 45982.7295840514. The cubic root of 2114411420 is about 1283.5018488256.

Adding to 2114411420 its reverse (241144112), we get a palindrome (2355555532).

It can be divided in two parts, 21 and 14411420, that added together give a palindrome (14411441).

The spelling of 2114411420 in words is "two billion, one hundred fourteen million, four hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 73 110 124 137 146 155 220 274 292 310 341 365 548 620 682 685 730 803 961 1364 1370 1460 1507 1606 1705 1922 2263 2740 3014 3212 3410 3844 4015 4247 4526 4805 6028 6820 7535 8030 8494 9052 9610 10001 10571 11315 15070 16060 16988 19220 20002 21142 21235 22630 24893 30140 40004 42284 42470 45260 46717 49786 50005 52855 70153 84940 93434 99572 100010 105710 110011 124465 131657 140306 186868 200020 211420 220022 233585 248930 263314 280612 310031 350765 440044 467170 497860 526628 550055 620062 658285 701530 771683 934340 1100110 1240124 1316570 1403060 1448227 1543366 1550155 2200220 2633140 2896454 3086732 3100310 3410341 3858415 5792908 6200620 6820682 7241135 7716830 9610961 13641364 14482270 15433660 17051705 19221922 28964540 34103410 38443844 48054805 68206820 96109610 105720571 192219220 211441142 422882284 528602855 1057205710 2114411420