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4014996468 = 22371313171151
BaseRepresentation
bin1110111101001111…
…1111101111110100
3101100210220221201220
43233103333233310
531210314341333
61502223150340
7201331623030
oct35723775764
911323827656
104014996468
1117803a72aa
129407453b0
134bca72572
142a13391c0
151877388b3
hexef4ffbf4

4014996468 has 96 divisors (see below), whose sum is σ = 10831822848. Its totient is φ = 1133808000.

The previous prime is 4014996439. The next prime is 4014996493. The reversal of 4014996468 is 8646994104.

It is a super-2 number, since 2×40149964682 = 32240393276104950048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4014996468.

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, 3487693 + ... + 3488843.

It is an arithmetic number, because the mean of its divisors is an integer number (112831488).

Almost surely, 24014996468 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 4014996468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5415911424).

4014996468 is an abundant number, since it is smaller than the sum of its proper divisors (6816826380).

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

4014996468 is a wasteful number, since it uses less digits than its factorization.

4014996468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The square root of 4014996468 is about 63363.9997790544. Note that the first 3 decimals coincide. The cubic root of 4014996468 is about 1589.3823620627.

The spelling of 4014996468 in words is "four billion, fourteen million, nine hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 317 393 524 634 786 917 951 1151 1268 1572 1834 1902 2219 2302 2751 3453 3668 3804 4438 4604 5502 6657 6906 8057 8876 11004 13314 13812 16114 24171 26628 32228 41527 48342 83054 96684 124581 150781 166108 249162 290689 301562 364867 452343 498324 581378 603124 729734 872067 904686 1055467 1094601 1162756 1459468 1744134 1809372 2110934 2189202 2554069 3166401 3488268 4221868 4378404 5108138 6332802 7662207 10216276 12665604 15324414 30648828 47797577 95595154 143392731 191190308 286785462 334583039 573570924 669166078 1003749117 1338332156 2007498234 4014996468