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102034114440 = 23358310244389
BaseRepresentation
bin101111100000110110…
…1010000011110001000
3100202100221012001200120
41133001231100132020
53132431213130230
6114512425103240
710241333443206
oct1370155203610
9322327161616
10102034114440
113a2aa663415
1217937027b20
13981106c75b
144d1d27a076
1529c2ada310
hex17c1b50788

102034114440 has 64 divisors (see below), whose sum is σ = 309790353600. Its totient is φ = 26881274112.

The previous prime is 102034114387. The next prime is 102034114471. The reversal of 102034114440 is 44411430201.

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 102034114440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5112235 + ... + 5132154.

It is an arithmetic number, because the mean of its divisors is an integer number (4840474275).

Almost surely, 2102034114440 is an apocalyptic number.

102034114440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102034114440 is an abundant number, since it is smaller than the sum of its proper divisors (207756239160).

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

102034114440 is a wasteful number, since it uses less digits than its factorization.

102034114440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10244486 (or 10244482 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 102034114440 its reverse (44411430201), we get a palindrome (146445544641).

The spelling of 102034114440 in words is "one hundred two billion, thirty-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 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 10244389 20488778 30733167 40977556 51221945 61466334 81955112 102443890 122932668 153665835 204887780 245865336 307331670 409775560 614663340 850284287 1229326680 1700568574 2550852861 3401137148 4251421435 5101705722 6802274296 8502842870 10203411444 12754264305 17005685740 20406822888 25508528610 34011371480 51017057220 102034114440