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4000024114440 = 233568348804589
BaseRepresentation
bin111010001101010100000…
…001000011010100001000
3112011101202120001211201120
4322031110001003110020
51011014022133130230
612301330302515240
7561664216656444
oct72152401032410
915141676054646
104000024114440
111302445372162
12547293b95b20
1323027babc833
14db860619824
156e0b3170310
hex3a354043508

4000024114440 has 64 divisors (see below), whose sum is σ = 12017642241600. Its totient is φ = 1065111328512.

The previous prime is 4000024114433. The next prime is 4000024114477. The reversal of 4000024114440 is 444114200004.

It is a happy number.

It is a super-2 number, since 2×40000241144402 (a number of 26 digits) contains 22 as substring.

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 4000024114440.

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, 24320335 + ... + 24484254.

It is an arithmetic number, because the mean of its divisors is an integer number (187775660025).

Almost surely, 24000024114440 is an apocalyptic number.

4000024114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4000024114440 is an abundant number, since it is smaller than the sum of its proper divisors (8017618127160).

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

4000024114440 is a wasteful number, since it uses less digits than its factorization.

4000024114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48805286 (or 48805282 counting only the distinct ones).

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

Adding to 4000024114440 its reverse (444114200004), we get a palindrome (4444138314444).

The spelling of 4000024114440 in words is "four trillion, twenty-four million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 683 1366 2049 2732 3415 4098 5464 6830 8196 10245 13660 16392 20490 27320 40980 81960 48804589 97609178 146413767 195218356 244022945 292827534 390436712 488045890 585655068 732068835 976091780 1171310136 1464137670 1952183560 2928275340 5856550680 33333534287 66667068574 100000602861 133334137148 166667671435 200001205722 266668274296 333335342870 400002411444 500003014305 666670685740 800004822888 1000006028610 1333341371480 2000012057220 4000024114440