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14004420402 = 237319557643
BaseRepresentation
bin11010000101011101…
…00111111100110010
31100010222210021020010
431002232213330302
5212140112423102
610233351155350
71004020416000
oct150256477462
940128707203
1014004420402
115a37148365
12286a075b56
1314224c8bbb
1496bd07a70
1556e707d6c
hex342ba7f32

14004420402 has 128 divisors (see below), whose sum is σ = 34497792000. Its totient is φ = 3777979968.

The previous prime is 14004420401. The next prime is 14004420403. The reversal of 14004420402 is 20402440041.

It is an interprime number because it is at equal distance from previous prime (14004420401) and next prime (14004420403).

It is a super-2 number, since 2×140044204022 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (14004420401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21779493 + ... + 21780135.

It is an arithmetic number, because the mean of its divisors is an integer number (269514000).

Almost surely, 214004420402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14004420402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248896000).

14004420402 is an abundant number, since it is smaller than the sum of its proper divisors (20493371598).

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

14004420402 is a wasteful number, since it uses less digits than its factorization.

14004420402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1231 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 14004420402 its reverse (20402440041), we get a palindrome (34406860443).

The spelling of 14004420402 in words is "fourteen billion, four million, four hundred twenty thousand, four hundred two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 343 399 557 643 686 798 931 1029 1114 1286 1671 1862 1929 2058 2793 3342 3858 3899 4501 5586 6517 7798 9002 10583 11697 12217 13034 13503 19551 21166 23394 24434 27006 27293 31507 31749 36651 39102 54586 63014 63498 73302 74081 81879 85519 94521 148162 163758 171038 189042 191051 220549 222243 256557 358151 382102 441098 444486 513114 518567 573153 598633 661647 716302 1037134 1074453 1146306 1197266 1323294 1555701 1795899 2148906 2507057 3111402 3591798 3629969 4190431 5014114 6804869 7259938 7521171 8380862 10889907 12571293 13609738 15042342 17549399 20414607 21779814 25142586 35098798 40829214 47634083 52648197 95268166 105296394 122845793 142902249 245691586 285804498 333438581 368537379 666877162 737074758 1000315743 2000631486 2334070067 4668140134 7002210201 14004420402