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2494104144 = 243710636983
BaseRepresentation
bin1001010010101001…
…0000001001010000
320102211002121200120
42110222100021100
520101442313034
61051253150240
7115543351440
oct22452201120
96384077616
102494104144
11106a9473a4
1259732b380
1330994698c
14199358120
15e8e63c49
hex94a90250

2494104144 has 80 divisors (see below), whose sum is σ = 7371528192. Its totient is φ = 711828864.

The previous prime is 2494104143. The next prime is 2494104149. The reversal of 2494104144 is 4414014942.

It is a happy number.

It is a super-2 number, since 2×24941041442 = 12441110962235945472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2494104143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353677 + ... + 360659.

Almost surely, 22494104144 is an apocalyptic number.

2494104144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2494104144 is an abundant number, since it is smaller than the sum of its proper divisors (4877424048).

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

2494104144 is a wasteful number, since it uses less digits than its factorization.

2494104144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8064 (or 8058 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 2494104144 is about 49941.0066378322. The cubic root of 2494104144 is about 1356.1410474491.

The spelling of 2494104144 in words is "two billion, four hundred ninety-four million, one hundred four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1063 2126 3189 4252 6378 6983 7441 8504 12756 13966 14882 17008 20949 22323 25512 27932 29764 41898 44646 48881 51024 55864 59528 83796 89292 97762 111728 119056 146643 167592 178584 195524 293286 335184 357168 391048 586572 782096 1173144 2346288 7422929 14845858 22268787 29691716 44537574 51960503 59383432 89075148 103921006 118766864 155881509 178150296 207842012 311763018 356300592 415684024 623526036 831368048 1247052072 2494104144