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7423820400042 = 23229103881156727
BaseRepresentation
bin110110000000111111000…
…1011011000010110101010
3222021201011210211001020200
41230001332023120112222
51433112441010300132
623442242255333030
71364232122140524
oct154017613302652
928251153731220
107423820400042
112402474093872
129ba952521176
1341b0a8c9c227
141b9459c42a14
15cd19d45dd7c
hex6c07e2d85aa

7423820400042 has 96 divisors (see below), whose sum is σ = 16820324801280. Its totient is φ = 2363377927680.

The previous prime is 7423820400011. The next prime is 7423820400043. The reversal of 7423820400042 is 2400040283247.

It is a super-2 number, since 2×74238204000422 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (7423820400043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47289483 + ... + 47446209.

It is an arithmetic number, because the mean of its divisors is an integer number (175211716680).

Almost surely, 27423820400042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7423820400042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8410162400640).

7423820400042 is an abundant number, since it is smaller than the sum of its proper divisors (9396504401238).

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

7423820400042 is a wasteful number, since it uses less digits than its factorization.

7423820400042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157748 (or 157745 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

Adding to 7423820400042 its reverse (2400040283247), we get a palindrome (9823860683289).

The spelling of 7423820400042 in words is "seven trillion, four hundred twenty-three billion, eight hundred twenty million, four hundred thousand, forty-two".

Divisors: 1 2 3 6 9 18 29 58 87 103 174 206 261 309 522 618 881 927 1762 1854 2643 2987 5286 5974 7929 8961 15858 17922 25549 26883 51098 53766 76647 90743 153294 156727 181486 229941 272229 313454 459882 470181 544458 816687 940362 1410543 1633374 2631547 2821086 4545083 5263094 7894641 9090166 13635249 15789282 16142881 23683923 27270498 32285762 40905747 47367846 48428643 81811494 96857286 138076487 145285929 276152974 290571858 414229461 468143549 828458922 936287098 1242688383 1404430647 2485376766 2808861294 4004218123 4213291941 8008436246 8426583882 12012654369 14221878161 24025308738 28443756322 36037963107 42665634483 72075926214 85331268966 127996903449 255993806898 412434466669 824868933338 1237303400007 2474606800014 3711910200021 7423820400042