Search a number
-
+
41001234141400 = 23521334745445837
BaseRepresentation
bin10010101001010010101111…
…11111110001000011011000
312101011200100111121022112021
421110221113333301003120
520333231011420011100
6223111412410424224
711431145542605451
oct1124512777610330
9171150314538467
1041001234141400
1112078586855735
124722392432074
1319b552744c790
14a1a6827bc128
154b18099b4a1a
hex254a57ff10d8

41001234141400 has 96 divisors (see below), whose sum is σ = 102956637072240. Its totient is φ = 15095288885760.

The previous prime is 41001234141389. The next prime is 41001234141457. The reversal of 41001234141400 is 414143210014.

It is a super-2 number, since 2×410012341414002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21820719 + ... + 23625118.

Almost surely, 241001234141400 is an apocalyptic number.

41001234141400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41001234141400 is an abundant number, since it is smaller than the sum of its proper divisors (61955402930840).

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

41001234141400 is a wasteful number, since it uses less digits than its factorization.

41001234141400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45446213 (or 45446204 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 41001234141400 its reverse (414143210014), we get a palindrome (41415377351414).

The spelling of 41001234141400 in words is "forty-one trillion, one billion, two hundred thirty-four million, one hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 347 520 650 694 1300 1388 1735 2600 2776 3470 4511 6940 8675 9022 13880 17350 18044 22555 34700 36088 45110 69400 90220 112775 180440 225550 451100 902200 45445837 90891674 181783348 227229185 363566696 454458370 590795881 908916740 1136145925 1181591762 1817833480 2272291850 2363183524 2953979405 4544583700 4726367048 5907958810 9089167400 11815917620 14769897025 15769705439 23631835240 29539794050 31539410878 59079588100 63078821756 78848527195 118159176200 126157643512 157697054390 205006170707 315394108780 394242635975 410012341414 630788217560 788485271950 820024682828 1025030853535 1576970543900 1640049365656 2050061707070 3153941087800 4100123414140 5125154267675 8200246828280 10250308535350 20500617070700 41001234141400