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42153200235124 = 22118914537408363
BaseRepresentation
bin10011001010110100011101…
…00001101011001001110100
312112020210210000001011102221
421211122032201223021310
521011114223230010444
6225352525102012124
711610316412052436
oct1145321641531164
9175223700034387
1042153200235124
1112482087668020
1248896a5577044
131a6a0503ccb24
14a5a323766656
154d177c721a84
hex26568e86b274

42153200235124 has 48 divisors (see below), whose sum is σ = 81434515095360. Its totient is φ = 18932217258240.

The previous prime is 42153200235089. The next prime is 42153200235143.

42153200235124 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42153200235124.

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, 1985767 + ... + 9394129.

It is an arithmetic number, because the mean of its divisors is an integer number (1696552397820).

Almost surely, 242153200235124 is an apocalyptic number.

42153200235124 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42153200235124 is a deficient number, since it is larger than the sum of its proper divisors (39281314860236).

42153200235124 is a wasteful number, since it uses less digits than its factorization.

42153200235124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7409920 (or 7409918 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 42153200 and 235124, that added together give a palindrome (42388324).

The spelling of 42153200235124 in words is "forty-two trillion, one hundred fifty-three billion, two hundred million, two hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 4 11 22 44 89 178 356 979 1453 1958 2906 3916 5812 15983 31966 63932 129317 258634 517268 1422487 2844974 5689948 7408363 14816726 29633452 81491993 162983986 325967972 659344307 1318688614 2637377228 7252787377 10764351439 14505574754 21528702878 29011149508 43057405756 118407865829 236815731658 473631463316 958027278071 1916054556142 3832109112284 10538300058781 21076600117562 42153200235124