Search a number
-
+
42451301003124 = 22313240152200983
BaseRepresentation
bin10011010011011111101101…
…01101110110111101110100
312120022022020011020012200010
421221233312231312331310
521031010231024044444
6230141505232020220
711641001545554426
oct1151576655667564
9176268204205603
1042451301003124
111258754a7931a2
12491741a991670
131a8c1a9906600
14a6a922560816
154d93c82c52b9
hex269bf6b76f74

42451301003124 has 72 divisors (see below), whose sum is σ = 107526092490432. Its totient is φ = 13029365107200.

The previous prime is 42451301003087. The next prime is 42451301003231. The reversal of 42451301003124 is 42130010315424.

It is a super-4 number, since 4×424513010031244 (a number of 56 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 42451301003091 and 42451301003100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25287264 + ... + 26913719.

It is an arithmetic number, because the mean of its divisors is an integer number (1493417951256).

Almost surely, 242451301003124 is an apocalyptic number.

It is an amenable number.

42451301003124 is an abundant number, since it is smaller than the sum of its proper divisors (65074791487308).

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

42451301003124 is a wasteful number, since it uses less digits than its factorization.

42451301003124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52201417 (or 52201402 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 42451301003124 its reverse (42130010315424), we get a palindrome (84581311318548).

The spelling of 42451301003124 in words is "forty-two trillion, four hundred fifty-one billion, three hundred one million, three thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 401 507 676 802 1014 1203 1604 2028 2406 4812 5213 10426 15639 20852 31278 62556 67769 135538 203307 271076 406614 813228 52200983 104401966 156602949 208803932 313205898 626411796 678612779 1357225558 2035838337 2714451116 4071676674 8143353348 8821966127 17643932254 20932594183 26465898381 35287864508 41865188366 52931796762 62797782549 83730376732 105863593524 125595565098 251191130196 272123724379 544247448758 816371173137 1088494897516 1632742346274 3265484692548 3537608416927 7075216833854 10612825250781 14150433667708 21225650501562 42451301003124