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4042434202320 = 243553317801431
BaseRepresentation
bin111010110100110011110…
…110101100101011010000
3112022110020012010112021010
4322310303312230223100
51012212401123433240
612333022454130520
7565025200530513
oct72646366545320
915273205115233
104042434202320
1113194287a2968
1255354b050a40
1323427a2805a7
14dd924d10d7a
1570246522280
hex3ad33dacad0

4042434202320 has 80 divisors (see below), whose sum is σ = 12767990332032. Its totient is φ = 1057643159040.

The previous prime is 4042434202307. The next prime is 4042434202357. The reversal of 4042434202320 is 232024342404.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158887996 + ... + 158913435.

Almost surely, 24042434202320 is an apocalyptic number.

4042434202320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4042434202320 is an abundant number, since it is smaller than the sum of its proper divisors (8725556129712).

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

4042434202320 is a wasteful number, since it uses less digits than its factorization.

4042434202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317801500 (or 317801494 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 4042434202320 its reverse (232024342404), we get a palindrome (4274458544724).

The spelling of 4042434202320 in words is "four trillion, forty-two billion, four hundred thirty-four million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 317801431 635602862 953404293 1271205724 1589007155 1906808586 2542411448 3178014310 3813617172 4767021465 5084822896 6356028620 7627234344 9534042930 12712057240 15254468688 16843475843 19068085860 25424114480 33686951686 38136171720 50530427529 67373903372 76272343440 84217379215 101060855058 134747806744 168434758430 202121710116 252652137645 269495613488 336869516860 404243420232 505304275290 673739033720 808486840464 1010608550580 1347478067440 2021217101160 4042434202320