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42423004032 = 273299973821
BaseRepresentation
bin100111100000100110…
…111010101110000000
311001111112100220011120
4213200212322232000
51143340242112112
631253332112240
73031165404333
oct474046725600
9131445326146
1042423004032
1116a9a752912
12827b465680
134001063a66
1420a62d861a
1511845a3e8c
hex9e09bab80

42423004032 has 128 divisors (see below), whose sum is σ = 116719293600. Its totient is φ = 13636116480.

The previous prime is 42423004007. The next prime is 42423004033. The reversal of 42423004032 is 23040032424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×424230040322 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42423003993 and 42423004011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42423004033) 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, 11100682 + ... + 11104502.

Almost surely, 242423004032 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 42423004032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359646800).

42423004032 is an abundant number, since it is smaller than the sum of its proper divisors (74296289568).

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

42423004032 is a wasteful number, since it uses less digits than its factorization.

42423004032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4852 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 42423004032 its reverse (23040032424), we get a palindrome (65463036456).

The spelling of 42423004032 in words is "forty-two billion, four hundred twenty-three million, four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 348 384 464 696 928 997 1392 1856 1994 2784 2991 3712 3821 3988 5568 5982 7642 7976 11136 11463 11964 15284 15952 22926 23928 28913 30568 31904 45852 47856 57826 61136 63808 86739 91704 95712 110809 115652 122272 127616 173478 183408 191424 221618 231304 244544 332427 346956 366816 382848 443236 462608 489088 664854 693912 733632 886472 925216 1329708 1387824 1467264 1772944 1850432 2659416 2775648 3545888 3700864 3809537 5318832 5551296 7091776 7619074 10637664 11102592 11428611 14183552 15238148 21275328 22857222 30476296 42550656 45714444 60952592 91428888 110476573 121905184 182857776 220953146 243810368 331429719 365715552 441906292 487620736 662859438 731431104 883812584 1325718876 1462862208 1767625168 2651437752 3535250336 5302875504 7070500672 10605751008 14141001344 21211502016 42423004032