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40102411420104 = 23311213178419091
BaseRepresentation
bin10010001111001000100011…
…11111001100000111001000
312020222202100000002012001220
421013210101333030013020
520224014214310420404
6221142443220242040
711306206065541365
oct1107442177140710
9166882300065056
1040102411420104
1111861378862850
1245b8148540320
13194b844860bb7
149c8d778cd46c
154982509d64d9
hex247911fcc1c8

40102411420104 has 128 divisors (see below), whose sum is σ = 109447529218560. Its totient is φ = 12143658240000.

The previous prime is 40102411420091. The next prime is 40102411420111.

40102411420104 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4411216599 + ... + 4411225689.

It is an arithmetic number, because the mean of its divisors is an integer number (855058822020).

Almost surely, 240102411420104 is an apocalyptic number.

40102411420104 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

40102411420104 is an abundant number, since it is smaller than the sum of its proper divisors (69345117798456).

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

40102411420104 is a wasteful number, since it uses less digits than its factorization.

40102411420104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19083 (or 19079 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

It can be divided in two parts, 4010241 and 1420104, that added together give a palindrome (5430345).

The spelling of 40102411420104 in words is "forty trillion, one hundred two billion, four hundred eleven million, four hundred twenty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 2131 4262 6393 7841 8524 9091 12786 15682 17048 18182 23441 23523 25572 27273 31364 36364 46882 47046 51144 54546 62728 70323 72728 86251 93764 94092 100001 109092 140646 172502 187528 188184 200002 218184 258753 281292 300003 345004 400004 517506 562584 600006 690008 800008 1035012 1200012 2070024 2400024 16709171 19372921 33418342 38745842 50127513 58118763 66836684 71282531 77491684 100255026 116237526 133673368 142565062 154983368 183800881 200510052 213102131 213847593 232475052 285130124 367601762 401020104 426204262 427695186 464950104 551402643 570260248 639306393 735203524 784107841 852408524 855390372 1102805286 1278612786 1470407048 1568215682 1704817048 1710780744 2205610572 2352323523 2557225572 3136431364 4411221144 4704647046 5114451144 6272862728 9409294092 18818588184 151903073561 303806147122 455709220683 607612294244 911418441366 1215224588488 1670933809171 1822836882732 3341867618342 3645673765464 5012801427513 6683735236684 10025602855026 13367470473368 20051205710052 40102411420104