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34061088357231 = 31323675936171549
BaseRepresentation
bin1111011111010011101110…
…00100100111101101101111
311110121012121210220112121120
413233221313010213231233
513431024102104412411
6200235240432432023
710113555344022225
oct757516704475557
9143535553815546
1034061088357231
11a942254452671
1239a13256a8613
131600c402ca310
1485a7cb92ab15
153e1018d1d106
hex1efa77127b6f

34061088357231 has 128 divisors (see below), whose sum is σ = 52001371699200. Its totient is φ = 19672123097088.

The previous prime is 34061088357217. The next prime is 34061088357251. The reversal of 34061088357231 is 13275388016043.

It is not a de Polignac number, because 34061088357231 - 218 = 34061088095087 is a prime.

It is a super-2 number, since 2×340610883572312 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34061088357251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21989081445 + ... + 21989082993.

It is an arithmetic number, because the mean of its divisors is an integer number (406260716400).

Almost surely, 234061088357231 is an apocalyptic number.

34061088357231 is a deficient number, since it is larger than the sum of its proper divisors (17940283341969).

34061088357231 is a wasteful number, since it uses less digits than its factorization.

34061088357231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2865.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 34061088357231 in words is "thirty-four trillion, sixty-one billion, eighty-eight million, three hundred fifty-seven thousand, two hundred thirty-one".

Divisors: 1 3 13 23 39 67 69 201 299 593 617 871 897 1541 1549 1779 1851 2613 4623 4647 7709 8021 13639 14191 20033 20137 23127 24063 35627 39731 40917 41339 42573 60099 60411 103783 106881 119193 124017 177307 184483 311349 365881 463151 516503 531921 537407 553449 913813 918557 950797 955733 1097643 1349179 1389453 1549509 1612221 2387009 2741439 2755671 2852391 2867199 4047537 4756453 7161027 8415263 11879569 11941241 12360361 12424529 14269359 21126811 21981859 24514027 25245789 31031117 35638707 35823723 37081083 37273587 61543319 63380433 64034111 65945577 73542081 93093351 109398419 184629957 192102333 274648543 285764167 318682351 328195257 563822621 566749669 800063147 823945629 832443443 857292501 956047053 1415496337 1472784553 1691467863 1700249007 2400189441 2497330329 4246489011 4418353659 7329694073 7367745697 13035242387 18401452381 19146199189 21989082219 22103237091 37972227823 39105727161 55204357143 57438597567 113916683469 169458151031 493638961699 508374453093 873361239929 1480916885097 2620083719787 11353696119077 34061088357231