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103444413202242 = 23371978787182813
BaseRepresentation
bin10111100001010100000111…
…100000001011111101000010
3111120021012010000102121121000
4113201110013200023331002
5102024313124234432432
61004001412443312430
730534416664244110
oct2741240740137502
9446235100377530
10103444413202242
112aa6259050a472
12b72827881b716
1345949c676c9b8
141b78a4462cab0
15be5c5ea8957c
hex5e150780bf42

103444413202242 has 128 divisors (see below), whose sum is σ = 276548149094400. Its totient is φ = 27999482995008.

The previous prime is 103444413202231. The next prime is 103444413202283. The reversal of 103444413202242 is 242202314444301.

103444413202242 is a `hidden beast` number, since 1 + 0 + 3 + 4 + 4 + 441 + 3 + 202 + 2 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 103444413202197 and 103444413202206.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 565756828 + ... + 565939640.

It is an arithmetic number, because the mean of its divisors is an integer number (2160532414800).

Almost surely, 2103444413202242 is an apocalyptic number.

103444413202242 is an abundant number, since it is smaller than the sum of its proper divisors (173103735892158).

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

103444413202242 is a wasteful number, since it uses less digits than its factorization.

103444413202242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261637 (or 261631 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 103444413202242 its reverse (242202314444301), we get a palindrome (345646727646543).

The spelling of 103444413202242 in words is "one hundred three trillion, four hundred forty-four billion, four hundred thirteen million, two hundred two thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 114 126 133 171 189 266 342 378 399 513 798 1026 1197 2394 3591 7182 78787 157574 182813 236361 365626 472722 548439 551509 709083 1096878 1103018 1279691 1418166 1496953 1645317 1654527 2127249 2559382 2993906 3290634 3309054 3473447 3839073 4254498 4490859 4935951 4963581 6946894 7678146 8981718 9871902 9927162 10420341 10478671 11517219 13472577 14890743 20840682 20957342 23034438 24314129 26945154 29781486 31261023 31436013 34551657 40417731 48628258 62522046 62872026 69103314 72942387 80835462 93783069 94308039 145884774 187566138 188616078 218827161 282924117 437654322 565848234 656481483 1312962966 14403287831 28806575662 43209863493 86419726986 100823014817 129629590479 201646029634 259259180958 273662468789 302469044451 388888771437 547324937578 604938088902 777777542874 820987406367 907407133353 1641974812734 1814814266706 1915637281523 2462962219101 2722221400059 3831274563046 4925924438202 5444442800118 5746911844569 7388886657303 11493823689138 14777773314606 17240735533707 34481471067414 51722206601121 103444413202242