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42623405040 = 24351737282349
BaseRepresentation
bin100111101100100011…
…011000101111110000
311002000111110022200010
4213230203120233300
51144243042430130
631325251254520
73036150651666
oct475443305760
9132014408603
1042623405040
111709288a087
1283165aa440
13403372b738
1420c4b82c36
151196e8c0b0
hex9ec8d8bf0

42623405040 has 160 divisors (see below), whose sum is σ = 143686785600. Its totient is φ = 10408476672.

The previous prime is 42623405039. The next prime is 42623405087. The reversal of 42623405040 is 4050432624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42623404989 and 42623405007.

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 31 ways as a sum of consecutive naturals, for example, 9786 + ... + 292134.

It is an arithmetic number, because the mean of its divisors is an integer number (898042410).

Almost surely, 242623405040 is an apocalyptic number.

42623405040 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 42623405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71843392800).

42623405040 is an abundant number, since it is smaller than the sum of its proper divisors (101063380560).

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

42623405040 is a wasteful number, since it uses less digits than its factorization.

42623405040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282419 (or 282413 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 42623405040 its reverse (4050432624), we get a palindrome (46673837664).

The spelling of 42623405040 in words is "forty-two billion, six hundred twenty-three million, four hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 510 555 592 629 680 740 816 888 1020 1110 1258 1360 1480 1776 1887 2040 2220 2516 2960 3145 3774 4080 4440 5032 6290 7548 8880 9435 10064 12580 15096 18870 25160 30192 37740 50320 75480 150960 282349 564698 847047 1129396 1411745 1694094 2258792 2823490 3388188 4235235 4517584 4799933 5646980 6776376 8470470 9599866 10446913 11293960 13552752 14399799 16940940 19199732 20893826 22587920 23999665 28799598 31340739 33881880 38399464 41787652 47999330 52234565 57599196 62681478 67763760 71998995 76798928 83575304 95998660 104469130 115198392 125362956 143997990 156703695 167150608 177597521 191997320 208938260 230396784 250725912 287995980 313407390 355195042 383994640 417876520 501451824 532792563 575991960 626814780 710390084 835753040 887987605 1065585126 1151983920 1253629560 1420780168 1775975210 2131170252 2507259120 2663962815 2841560336 3551950420 4262340504 5327925630 7103900840 8524681008 10655851260 14207801680 21311702520 42623405040