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41422142400 = 263528629613
BaseRepresentation
bin100110100100111100…
…111011101111000000
310221220210001212010020
4212210330323233000
51134313032024100
631010140133440
72664323254362
oct464474735700
9127823055106
1041422142400
11166267a0741
128040237280
133ba18b4642
14200d404d32
1511267a25a0
hex9a4f3bbc0

41422142400 has 84 divisors (see below), whose sum is σ = 135899161272. Its totient is φ = 11045903360.

The previous prime is 41422142393. The next prime is 41422142471. The reversal of 41422142400 is 424122414.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4310007 + ... + 4319606.

It is an arithmetic number, because the mean of its divisors is an integer number (1617847158).

Almost surely, 241422142400 is an apocalyptic number.

41422142400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

41422142400 is an abundant number, since it is smaller than the sum of its proper divisors (94477018872).

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

41422142400 is a wasteful number, since it uses less digits than its factorization.

41422142400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8629638 (or 8629623 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 41422142400 its reverse (424122414), we get a palindrome (41846264814).

The spelling of 41422142400 in words is "forty-one billion, four hundred twenty-two million, one hundred forty-two thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 150 160 192 200 240 300 320 400 480 600 800 960 1200 1600 2400 4800 8629613 17259226 25888839 34518452 43148065 51777678 69036904 86296130 103555356 129444195 138073808 172592260 207110712 215740325 258888390 276147616 345184520 414221424 431480650 517776780 552295232 647220975 690369040 828442848 862961300 1035553560 1294441950 1380738080 1656885696 1725922600 2071107120 2588883900 2761476160 3451845200 4142214240 5177767800 6903690400 8284428480 10355535600 13807380800 20711071200 41422142400