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42231441400 = 2352297281283
BaseRepresentation
bin100111010101001100…
…001010011111111000
311001000011220111122021
4213111030022133320
51142442222111100
631222330204224
73023351220601
oct472514123770
9131004814567
1042231441400
1116a01602a95
128227283674
133ca0471ca5
142088ab0da8
151172864a1a
hex9d530a7f8

42231441400 has 48 divisors (see below), whose sum is σ = 101573911800. Its totient is φ = 16310071680.

The previous prime is 42231441389. The next prime is 42231441409. The reversal of 42231441400 is 414413224.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42231441409) by changing a digit.

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, 3634842 + ... + 3646441.

Almost surely, 242231441400 is an apocalyptic number.

42231441400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42231441400 is an abundant number, since it is smaller than the sum of its proper divisors (59342470400).

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

42231441400 is a wasteful number, since it uses less digits than its factorization.

42231441400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7281328 (or 7281319 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

Adding to 42231441400 its reverse (414413224), we get a palindrome (42645854624).

The spelling of 42231441400 in words is "forty-two billion, two hundred thirty-one million, four hundred forty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 145 200 232 290 580 725 1160 1450 2900 5800 7281283 14562566 29125132 36406415 58250264 72812830 145625660 182032075 211157207 291251320 364064150 422314414 728128300 844628828 1055786035 1456256600 1689257656 2111572070 4223144140 5278930175 8446288280 10557860350 21115720700 42231441400