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42402200220424 = 23112598118545983
BaseRepresentation
bin10011010010000100010000…
…00101001111001100001000
312120010121111020110000021201
421221002020011033030020
521024204201224023144
6230103145111513544
711634313023030442
oct1151021005171410
9176117436400251
1042402200220424
1112568743668440
1249099b70888b4
131a87683247c35
14a683c5425492
154d7ea28551d4
hex26908814f308

42402200220424 has 32 divisors (see below), whose sum is σ = 86735116131840. Its totient is φ = 19272984494400.

The previous prime is 42402200220409. The next prime is 42402200220451.

42402200220424 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×424022002204242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42402200220392 and 42402200220401.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6986664 + ... + 11559319.

It is an arithmetic number, because the mean of its divisors is an integer number (2710472379120).

Almost surely, 242402200220424 is an apocalyptic number.

42402200220424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42402200220424 is an abundant number, since it is smaller than the sum of its proper divisors (44332915911416).

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

42402200220424 is a wasteful number, since it uses less digits than its factorization.

42402200220424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18571981 (or 18571977 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 42402200 and 220424, that added together give a palindrome (42622624).

The spelling of 42402200220424 in words is "forty-two trillion, four hundred two billion, two hundred million, two hundred twenty thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 22 44 88 25981 51962 103924 207848 285791 571582 1143164 2286328 18545983 37091966 74183932 148367864 204005813 408011626 816023252 1632046504 481843184323 963686368646 1927372737292 3854745474584 5300275027553 10600550055106 21201100110212 42402200220424