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42144041500 = 22531131324481
BaseRepresentation
bin100111001111111110…
…110000101000011100
311000210002110010111221
4213033332300220130
51142302333312000
631205525023124
73021240304441
oct471776605034
9130702403457
1042144041500
1116967238170
128201b54aa4
133c88320682
14207b23d9c8
151169d4d61a
hex9cffb0a1c

42144041500 has 96 divisors (see below), whose sum is σ = 100735008192. Its totient is φ = 15275520000.

The previous prime is 42144041483. The next prime is 42144041509. The reversal of 42144041500 is 514044124.

It is a super-2 number, since 2×421440415002 (a number of 22 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 not an unprimeable number, because it can be changed into a prime (42144041509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1709260 + ... + 1733740.

It is an arithmetic number, because the mean of its divisors is an integer number (1049323002).

Almost surely, 242144041500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42144041500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50367504096).

42144041500 is an abundant number, since it is smaller than the sum of its proper divisors (58590966692).

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

42144041500 is a wasteful number, since it uses less digits than its factorization.

42144041500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24824 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

Adding to 42144041500 its reverse (514044124), we get a palindrome (42658085624).

The spelling of 42144041500 in words is "forty-two billion, one hundred forty-four million, forty-one thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 313 500 550 626 1100 1252 1375 1565 2750 3130 3443 5500 6260 6886 7825 13772 15650 17215 24481 31300 34430 39125 48962 68860 78250 86075 97924 122405 156500 172150 244810 269291 344300 430375 489620 538582 612025 860750 1077164 1224050 1346455 1721500 2448100 2692910 3060125 5385820 6120250 6732275 7662553 12240500 13464550 15325106 26929100 30650212 33661375 38312765 67322750 76625530 84288083 134645500 153251060 168576166 191563825 337152332 383127650 421440415 766255300 842880830 957819125 1685761660 1915638250 2107202075 3831276500 4214404150 8428808300 10536010375 21072020750 42144041500