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4242031040 = 265136831493
BaseRepresentation
bin1111110011011000…
…0100000111000000
3101221122010111121202
43330312010013000
532141424443130
61540533240332
7210056445302
oct37466040700
911848114552
104242031040
111887574785
129a47930a8
13527b03b50
142c3557972
1519c633145
hexfcd841c0

4242031040 has 112 divisors (see below), whose sum is σ = 10901586528. Its totient is φ = 1562947584.

The previous prime is 4242030983. The next prime is 4242031049. The reversal of 4242031040 is 401302424.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4242031049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2840534 + ... + 2842026.

It is an arithmetic number, because the mean of its divisors is an integer number (97335594).

Almost surely, 24242031040 is an apocalyptic number.

4242031040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4242031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5450793264).

4242031040 is an abundant number, since it is smaller than the sum of its proper divisors (6659555488).

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

4242031040 is a wasteful number, since it uses less digits than its factorization.

4242031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4242031040 is about 65130.8762416106. The cubic root of 4242031040 is about 1618.7928618417.

Adding to 4242031040 its reverse (401302424), we get a palindrome (4643333464).

The spelling of 4242031040 in words is "four billion, two hundred forty-two million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 683 832 1040 1366 1493 2080 2732 2986 3415 4160 5464 5972 6830 7465 8879 10928 11944 13660 14930 17758 19409 21856 23888 27320 29860 35516 38818 43712 44395 47776 54640 59720 71032 77636 88790 95552 97045 109280 119440 142064 155272 177580 194090 218560 238880 284128 310544 355160 388180 477760 568256 621088 710320 776360 1019719 1242176 1420640 1552720 2039438 2841280 3105440 4078876 5098595 6210880 8157752 10197190 13256347 16315504 20394380 26512694 32631008 40788760 53025388 65262016 66281735 81577520 106050776 132563470 163155040 212101552 265126940 326310080 424203104 530253880 848406208 1060507760 2121015520 4242031040