Search a number
-
+
1043350440420 = 2235312593216329
BaseRepresentation
bin11110010111011001000…
…10000100100111100100
310200202001212220222012110
433023230202010213210
5114043240203043140
62115150352521020
7135244124262501
oct17135442044744
93622055828173
101043350440420
1137253413a462
1214a25bb50170
1377506511112
14386d99a04a8
151c217466380
hexf2ec8849e4

1043350440420 has 96 divisors (see below), whose sum is σ = 3016796267520. Its totient is φ = 269146644480.

The previous prime is 1043350440409. The next prime is 1043350440437. The reversal of 1043350440420 is 240440533401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4714816 + ... + 4931144.

It is an arithmetic number, because the mean of its divisors is an integer number (31424961120).

Almost surely, 21043350440420 is an apocalyptic number.

1043350440420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043350440420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1508398133760).

1043350440420 is an abundant number, since it is smaller than the sum of its proper divisors (1973445827100).

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

1043350440420 is a wasteful number, since it uses less digits than its factorization.

1043350440420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218965 (or 218963 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 1043350440420 its reverse (240440533401), we get a palindrome (1283790973821).

The spelling of 1043350440420 in words is "one trillion, forty-three billion, three hundred fifty million, four hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1860 2593 5186 7779 10372 12965 15558 25930 31116 38895 51860 77790 80383 155580 160766 216329 241149 321532 401915 432658 482298 648987 803830 865316 964596 1081645 1205745 1297974 1607660 2163290 2411490 2595948 3244935 4326580 4822980 6489870 6706199 12979740 13412398 20118597 26824796 33530995 40237194 67061990 80474388 100592985 134123980 201185970 402371940 560941097 1121882194 1682823291 2243764388 2804705485 3365646582 5609410970 6731293164 8414116455 11218821940 16828232910 17389174007 33656465820 34778348014 52167522021 69556696028 86945870035 104335044042 173891740070 208670088084 260837610105 347783480140 521675220210 1043350440420