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31444414002 = 2341929352271
BaseRepresentation
bin11101010010001110…
…111010111000110010
310000011102012201220000
4131102032322320302
51003344232222002
622240110530430
72162136052251
oct352216727062
9100142181800
1031444414002
1112376608711
126116806a16
132c716c4541
1417441dc798
15c4084361c
hex7523bae32

31444414002 has 80 divisors (see below), whose sum is σ = 76724841600. Its totient is φ = 9587380320.

The previous prime is 31444413991. The next prime is 31444414013. The reversal of 31444414002 is 20041444413.

It is an interprime number because it is at equal distance from previous prime (31444413991) and next prime (31444414013).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 86874 + ... + 265397.

It is an arithmetic number, because the mean of its divisors is an integer number (959060520).

Almost surely, 231444414002 is an apocalyptic number.

31444414002 is an abundant number, since it is smaller than the sum of its proper divisors (45280427598).

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

31444414002 is a wasteful number, since it uses less digits than its factorization.

31444414002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352333 (or 352324 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 31444414002 its reverse (20041444413), we get a palindrome (51485858415).

The spelling of 31444414002 in words is "thirty-one billion, four hundred forty-four million, four hundred fourteen thousand, two".

Divisors: 1 2 3 6 9 18 19 27 29 38 54 57 58 81 87 114 162 171 174 261 342 513 522 551 783 1026 1102 1539 1566 1653 2349 3078 3306 4698 4959 9918 14877 29754 44631 89262 352271 704542 1056813 2113626 3170439 6340878 6693149 9511317 10215859 13386298 19022634 20079447 20431718 28533951 30647577 40158894 57067902 60238341 61295154 91942731 120476682 180715023 183885462 194101321 275828193 361430046 388202642 542145069 551656386 582303963 827484579 1084290138 1164607926 1654969158 1746911889 3493823778 5240735667 10481471334 15722207001 31444414002