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41322300014000 = 2453533727104597
BaseRepresentation
bin10010110010101000110010…
…00000110111110110110000
312102022101002010200112212002
421121110121000313312300
520404011032300422000
6223515111430353132
711463303054522245
oct1131243100676660
9172271063615762
1041322300014000
11121917640a68a5
1247746567bb7a8
131a098a3718155
14a2c01d5bd5cc
154b9d4b7838d5
hex259519037db0

41322300014000 has 160 divisors (see below), whose sum is σ = 101830842337536. Its totient is φ = 16212547353600.

The previous prime is 41322300013901. The next prime is 41322300014011. The reversal of 41322300014000 is 41000322314.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 395009702 + ... + 395114298.

Almost surely, 241322300014000 is an apocalyptic number.

41322300014000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41322300014000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50915421168768).

41322300014000 is an abundant number, since it is smaller than the sum of its proper divisors (60508542323536).

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

41322300014000 is a wasteful number, since it uses less digits than its factorization.

41322300014000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108400 (or 108384 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 41322300014000 its reverse (41000322314), we get a palindrome (41363300336314).

The spelling of 41322300014000 in words is "forty-one trillion, three hundred twenty-two billion, three hundred million, fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 53 80 100 106 125 200 212 250 265 400 424 500 530 848 1000 1060 1325 2000 2120 2650 3727 4240 5300 6625 7454 10600 13250 14908 18635 21200 26500 29816 37270 53000 59632 74540 93175 104597 106000 149080 186350 197531 209194 298160 372700 395062 418388 465875 522985 745400 790124 836776 931750 987655 1045970 1490800 1580248 1673552 1863500 1975310 2091940 2614925 3160496 3727000 3950620 4183880 4938275 5229850 5543641 7454000 7901240 8367760 9876550 10459700 11087282 13074625 15802480 19753100 20919400 22174564 24691375 26149250 27718205 39506200 41838800 44349128 49382750 52298500 55436410 79012400 88698256 98765500 104597000 110872820 138591025 197531000 209194000 221745640 277182050 389833019 395062000 443491280 554364100 692955125 779666038 1108728200 1385910250 1559332076 1949165095 2217456400 2771820500 3118664152 3898330190 5543641000 6237328304 7796660380 9745825475 11087282000 15593320760 19491650950 20661150007 31186641520 38983301900 41322300014 48729127375 77966603800 82644600028 97458254750 103305750035 155933207600 165289200056 194916509500 206611500070 330578400112 389833019000 413223000140 516528750175 779666038000 826446000280 1033057500350 1652892000560 2066115000700 2582643750875 4132230001400 5165287501750 8264460002800 10330575003500 20661150007000 41322300014000