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334311201042 = 237133743384847
BaseRepresentation
bin1001101110101101000…
…00000001100100010010
31011221220201111122010220
410313112200001210102
520434132131413132
6413325213133510
733103354215420
oct4672640014422
91157821448126
10334311201042
11119864a594a5
125496018a296
13256aa435630
1412275d8c110
158a69a30a2c
hex4dd6801912

334311201042 has 128 divisors (see below), whose sum is σ = 864818110464. Its totient is φ = 83791749888.

The previous prime is 334311201023. The next prime is 334311201047. The reversal of 334311201042 is 240102113433.

It is a happy number.

It is a super-2 number, since 2×3343112010422 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (334311201047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 676263 + ... + 1061109.

It is an arithmetic number, because the mean of its divisors is an integer number (6756391488).

Almost surely, 2334311201042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 334311201042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432409055232).

334311201042 is an abundant number, since it is smaller than the sum of its proper divisors (530506909422).

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

334311201042 is a wasteful number, since it uses less digits than its factorization.

334311201042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384952.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 334311201042 its reverse (240102113433), we get a palindrome (574413314475).

The spelling of 334311201042 in words is "three hundred thirty-four billion, three hundred eleven million, two hundred one thousand, forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 43 74 78 86 91 111 129 182 222 258 259 273 301 481 518 546 559 602 777 903 962 1118 1443 1554 1591 1677 1806 2886 3182 3354 3367 3913 4773 6734 7826 9546 10101 11137 11739 20202 20683 22274 23478 33411 41366 62049 66822 124098 144781 289562 384847 434343 769694 868686 1154541 2309082 2693929 5003011 5387858 8081787 10006022 14239339 15009033 16163574 16548421 28478678 30018066 33096842 35021077 42718017 49645263 70042154 85436034 99290526 99675373 105063231 115838947 185111407 199350746 210126462 215129473 231677894 299026119 347516841 370222814 430258946 555334221 598052238 612291577 645388419 695033682 1110668442 1224583154 1290776838 1295779849 1505906311 1836874731 2591559698 3011812622 3673749462 3887339547 4286041039 4517718933 7774679094 7959790501 8572082078 9035437866 12858123117 15919581002 23879371503 25716246234 47758743006 55718533507 111437067014 167155600521 334311201042