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42314144230232 = 23737671791702817
BaseRepresentation
bin10011001111100000001111…
…00010010010101101011000
312112211012012110120020021122
421213300013202102231120
521021233331410331412
6225554503254224412
711625044640332120
oct1147600742225530
9175735173506248
1042314144230232
1112534367321726
1248b4921355108
131a7c28c0c8224
14a640307a9c80
154d5a4becb572
hex267c07892b58

42314144230232 has 128 divisors (see below), whose sum is σ = 95041764979200. Its totient is φ = 17284045565952.

The previous prime is 42314144230231. The next prime is 42314144230261. The reversal of 42314144230232 is 23203244141324.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 42314144230192 and 42314144230201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42314144230231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23998088 + ... + 25700904.

It is an arithmetic number, because the mean of its divisors is an integer number (742513788900).

Almost surely, 242314144230232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42314144230232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47520882489600).

42314144230232 is an abundant number, since it is smaller than the sum of its proper divisors (52727620748968).

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

42314144230232 is a wasteful number, since it uses less digits than its factorization.

42314144230232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1703113 (or 1703109 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 42314144230232 its reverse (23203244141324), we get a palindrome (65517388371556).

The spelling of 42314144230232 in words is "forty-two trillion, three hundred fourteen billion, one hundred forty-four million, two hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 37 56 67 74 134 148 179 259 268 296 358 469 518 536 716 938 1036 1253 1432 1876 2072 2479 2506 3752 4958 5012 6623 9916 10024 11993 13246 17353 19832 23986 26492 34706 46361 47972 52984 69412 83951 92722 95944 138824 167902 185444 335804 370888 443741 671608 887482 1702817 1774964 3106187 3405634 3549928 6212374 6811268 11919719 12424748 13622536 23839438 24849496 47678876 63004229 95357752 114088739 126008458 228177478 252016916 304804243 441029603 456354956 504033832 609608486 798621173 882059206 912709912 1219216972 1597242346 1764118412 2133629701 2438433944 3194484692 3528236824 4221283343 4267259402 6388969384 8442566686 8534518804 11277756991 16885133372 17069037608 20421884281 22555513982 29548983401 33770266744 40843768562 45111027964 59097966802 78944298937 81687537124 90222055928 118195933604 142953189967 157888597874 163375074248 236391867208 285906379934 315777195748 571812759868 631554391496 755609718397 1143625519736 1511219436794 3022438873588 5289268028779 6044877747176 10578536057558 21157072115116 42314144230232