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4234435842 = 237313163971
BaseRepresentation
bin1111110001100100…
…0101110100000010
3101221002211121222010
43330121011310002
532133003421332
61540102353350
7206635053000
oct37431056402
911832747863
104234435842
11188325735a
129a212b856
13526374a50
142c253ba70
1519bb329cc
hexfc645d02

4234435842 has 128 divisors (see below), whose sum is σ = 10712217600. Its totient is φ = 1108779840.

The previous prime is 4234435823. The next prime is 4234435889. The reversal of 4234435842 is 2485344324.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4234435842.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4360417 + ... + 4361387.

It is an arithmetic number, because the mean of its divisors is an integer number (83689200).

Almost surely, 24234435842 is an apocalyptic number.

4234435842 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4234435842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5356108800).

4234435842 is an abundant number, since it is smaller than the sum of its proper divisors (6477781758).

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

4234435842 is a wasteful number, since it uses less digits than its factorization.

4234435842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173 (or 1159 counting only the distinct ones).

The product of its digits is 368640, while the sum is 39.

The square root of 4234435842 is about 65072.5429194219. The cubic root of 4234435842 is about 1617.8261552930.

The spelling of 4234435842 in words is "four billion, two hundred thirty-four million, four hundred thirty-five thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 163 182 273 294 326 343 489 546 637 686 971 978 1029 1141 1274 1911 1942 2058 2119 2282 2913 3423 3822 4238 4459 5826 6357 6797 6846 7987 8918 12623 12714 13377 13594 14833 15974 20391 23961 25246 26754 29666 37869 40782 44499 47579 47922 55909 75738 88361 88998 95158 103831 111818 142737 158273 167727 176722 207662 265083 285474 311493 316546 333053 335454 474819 530166 618527 622986 666106 726817 949638 999159 1107911 1237054 1453634 1855581 1998318 2057549 2180451 2215822 3323733 3711162 4115098 4329689 4360902 6172647 6647466 7755377 8659378 12345294 12989067 14402843 15510754 23266131 25978134 28805686 43208529 46532262 54287639 86417058 100819901 108575278 162862917 201639802 302459703 325725834 604919406 705739307 1411478614 2117217921 4234435842