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2414104440 = 2335111828867
BaseRepresentation
bin1000111111100100…
…0100111101111000
320020020120012201120
42033321010331320
514421002320230
61035314345240
7113552356236
oct21771047570
96206505646
102414104440
111029776440
1257458b220
132c61b6787
1418c891956
15e1e10310
hex8fe44f78

2414104440 has 64 divisors (see below), whose sum is σ = 7900709760. Its totient is φ = 585237120.

The previous prime is 2414104411. The next prime is 2414104457. The reversal of 2414104440 is 444014142.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2414104440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 913114 + ... + 915753.

It is an arithmetic number, because the mean of its divisors is an integer number (123448590).

Almost surely, 22414104440 is an apocalyptic number.

2414104440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2414104440 is an abundant number, since it is smaller than the sum of its proper divisors (5486605320).

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

2414104440 is a wasteful number, since it uses less digits than its factorization.

2414104440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1828892 (or 1828888 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2414104440 is about 49133.5368154990. The cubic root of 2414104440 is about 1341.4835503508.

Adding to 2414104440 its reverse (444014142), we get a palindrome (2858118582).

The spelling of 2414104440 in words is "two billion, four hundred fourteen million, one hundred four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1828867 3657734 5486601 7315468 9144335 10973202 14630936 18288670 20117537 21946404 27433005 36577340 40235074 43892808 54866010 60352611 73154680 80470148 100587685 109732020 120705222 160940296 201175370 219464040 241410444 301763055 402350740 482820888 603526110 804701480 1207052220 2414104440