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2014001021424 = 243773163750159
BaseRepresentation
bin11101010011101011110…
…100001100000111110000
321010112111012020102200010
4131103223310030013300
5230444133230141144
64141115211254520
7265335552136350
oct35235364140760
97115435212603
102014001021424
11707151087477
122863b0a4a440
13117bc5140132
146d69a150b60
15375c72635b9
hex1d4ebd0c1f0

2014001021424 has 160 divisors (see below), whose sum is σ = 6031353968640. Its totient is φ = 567188269056.

The previous prime is 2014001021339. The next prime is 2014001021437. The reversal of 2014001021424 is 4241201004102.

It is a super-2 number, since 2×20140010214242 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2014001021424.

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, 40127257 + ... + 40177415.

It is an arithmetic number, because the mean of its divisors is an integer number (37695962304).

Almost surely, 22014001021424 is an apocalyptic number.

2014001021424 is a gapful number since it is divisible by the number (24) 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 2014001021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3015676984320).

2014001021424 is an abundant number, since it is smaller than the sum of its proper divisors (4017352947216).

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

2014001021424 is a wasteful number, since it uses less digits than its factorization.

2014001021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51887 (or 51881 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 2014001021424 its reverse (4241201004102), we get a palindrome (6255202025526).

The spelling of 2014001021424 in words is "two trillion, fourteen billion, one million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1637 1752 2044 3066 3274 3504 4088 4911 6132 6548 8176 9822 11459 12264 13096 19644 22918 24528 26192 34377 39288 45836 50159 68754 78576 91672 100318 119501 137508 150477 183344 200636 239002 275016 300954 351113 358503 401272 478004 550032 601908 702226 717006 802544 836507 956008 1053339 1203816 1404452 1434012 1673014 1912016 2106678 2407632 2509521 2808904 2868024 3346028 3661607 4213356 5019042 5617808 5736048 6692056 7323214 8426712 10038084 10984821 13384112 14646428 16853424 20076168 21969642 25631249 29292856 40152336 43939284 51262498 58585712 76893747 82110283 87878568 102524996 153787494 164220566 175757136 205049992 246330849 307574988 328441132 410099984 492661698 574771981 615149976 656882264 985323396 1149543962 1230299952 1313764528 1724315943 1970646792 2299087924 3448631886 3941293584 4598175848 5994050659 6897263772 9196351696 11988101318 13794527544 17982151977 23976202636 27589055088 35964303954 41958354613 47952405272 71928607908 83916709226 95904810544 125875063839 143857215816 167833418452 251750127678 287714431632 335666836904 503500255356 671333673808 1007000510712 2014001021424