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2414423403100 = 22521791013133153
BaseRepresentation
bin100011001000100110110…
…110010110101001011100
322112211001022121000101201
4203020212312112221130
5304024214342344400
65045100520445244
7336302443211002
oct43104666265134
98484038530351
102414423403100
11850a51081435
1232bb21619824
131468aa128257
1484c04462a72
1542c10c9206a
hex23226d96a5c

2414423403100 has 72 divisors (see below), whose sum is σ = 5273809173360. Its totient is φ = 959418746880.

The previous prime is 2414423403019. The next prime is 2414423403121. The reversal of 2414423403100 is 13043244142.

It is a super-2 number, since 2×24144234031002 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18066124 + ... + 18199276.

It is an arithmetic number, because the mean of its divisors is an integer number (73247349630).

Almost surely, 22414423403100 is an apocalyptic number.

2414423403100 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 2414423403100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2636904586680).

2414423403100 is an abundant number, since it is smaller than the sum of its proper divisors (2859385770260).

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

2414423403100 is a wasteful number, since it uses less digits than its factorization.

2414423403100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134359 (or 134352 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2414423403100 its reverse (13043244142), we get a palindrome (2427466647242).

The spelling of 2414423403100 in words is "two trillion, four hundred fourteen billion, four hundred twenty-three million, four hundred three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 179 358 716 895 1013 1790 2026 3580 4052 4475 5065 8950 10130 17900 20260 25325 50650 101300 133153 181327 266306 362654 532612 665765 725308 906635 1331530 1813270 2663060 3328825 3626540 4533175 6657650 9066350 13315300 18132700 23834387 47668774 95337548 119171935 134883989 238343870 269767978 476687740 539535956 595859675 674419945 1191719350 1348839890 2383438700 2697679780 3372099725 6744199450 13488398900 24144234031 48288468062 96576936124 120721170155 241442340310 482884680620 603605850775 1207211701550 2414423403100