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42422100122424 = 23311374342966843
BaseRepresentation
bin10011010010101001010100…
…01101010101101100111000
312120012111212002121202220010
421221110222031111230320
521030020430112404144
6230120235503501520
711635616121303441
oct1151245215255470
9176174762552803
1042422100122424
1112576125639340
12491182b5b78a0
131a89504c76589
14a693522d22c8
154d87698ec5b9
hex26952a355b38

42422100122424 has 64 divisors (see below), whose sum is σ = 118823572851840. Its totient is φ = 12507744504960.

The previous prime is 42422100122419. The next prime is 42422100122431.

42422100122424 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 42422100122391 and 42422100122400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2171473654 + ... + 2171493189.

It is an arithmetic number, because the mean of its divisors is an integer number (1856618325810).

Almost surely, 242422100122424 is an apocalyptic number.

42422100122424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42422100122424 is an abundant number, since it is smaller than the sum of its proper divisors (76401472729416).

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

42422100122424 is a wasteful number, since it uses less digits than its factorization.

42422100122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4342966900 (or 4342966896 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 42422100 and 122424, that added together give a palindrome (42544524).

The spelling of 42422100122424 in words is "forty-two trillion, four hundred twenty-two billion, one hundred million, one hundred twenty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 814 888 1221 1628 2442 3256 4884 9768 4342966843 8685933686 13028900529 17371867372 26057801058 34743734744 47772635273 52115602116 95545270546 104231204232 143317905819 160689773191 191090541092 286635811638 321379546382 382181082184 482069319573 573271623276 642759092764 964138639146 1146543246552 1285518185528 1767587505101 1928277278292 3535175010202 3856554556584 5302762515303 7070350020404 10605525030606 14140700040808 21211050061212 42422100122424