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42230023444400 = 24521133128996171
BaseRepresentation
bin10011001101000011100011…
…00010111101011110110000
312112112011001221110112211012
421212201301202331132300
521013344042000210100
6225452112134010052
711616006230420501
oct1146416142753660
9175464057415735
1042230023444400
111250171a333220
1248a05654a6928
131a743743311cc
14a5dd30638ba8
154d3776d79135
hex2668718bd7b0

42230023444400 has 120 divisors (see below), whose sum is σ = 111015440027328. Its totient is φ = 15309977760000.

The previous prime is 42230023444369. The next prime is 42230023444409. The reversal of 42230023444400 is 444432003224.

42230023444400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×422300234444002 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42230023444409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13041686 + ... + 15954485.

Almost surely, 242230023444400 is an apocalyptic number.

42230023444400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42230023444400 is an abundant number, since it is smaller than the sum of its proper divisors (68785416582928).

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

42230023444400 is a wasteful number, since it uses less digits than its factorization.

42230023444400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28996531 (or 28996520 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 32.

Adding to 42230023444400 its reverse (444432003224), we get a palindrome (42674455447624).

The spelling of 42230023444400 in words is "forty-two trillion, two hundred thirty billion, twenty-three million, four hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 331 400 440 550 662 880 1100 1324 1655 2200 2648 3310 3641 4400 5296 6620 7282 8275 13240 14564 16550 18205 26480 29128 33100 36410 58256 66200 72820 91025 132400 145640 182050 291280 364100 728200 1456400 28996171 57992342 115984684 144980855 231969368 289961710 318957881 463938736 579923420 637915762 724904275 1159846840 1275831524 1449808550 1594789405 2319693680 2551663048 2899617100 3189578810 5103326096 5799234200 6379157620 7973947025 9597732601 11598468400 12758315240 15947894050 19195465202 25516630480 31895788100 38390930404 47988663005 63791576200 76781860808 95977326010 105575058611 127583152400 153563721616 191954652020 211150117222 239943315025 383909304040 422300234444 479886630050 527875293055 767818608080 844600468888 959773260100 1055750586110 1689200937776 1919546520200 2111501172220 2639376465275 3839093040400 4223002344440 5278752930550 8446004688880 10557505861100 21115011722200 42230023444400