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40109860098 = 2347113539109
BaseRepresentation
bin100101010110101110…
…111110010100000010
310211112022210000020000
4211112232332110002
51124121111010343
630232021300430
72616650120430
oct452656762402
9124468700200
1040109860098
1116012a74610
127934864716
133a22a69039
141d27007d50
15109b487ed3
hex956bbe502

40109860098 has 160 divisors (see below), whose sum is σ = 112382709120. Its totient is φ = 10387491840.

The previous prime is 40109860093. The next prime is 40109860159. The reversal of 40109860098 is 89006890104.

40109860098 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×401098600982 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40109860093) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4398768 + ... + 4407876.

It is an arithmetic number, because the mean of its divisors is an integer number (702391932).

Almost surely, 240109860098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40109860098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56191354560).

40109860098 is an abundant number, since it is smaller than the sum of its proper divisors (72272849022).

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

40109860098 is a wasteful number, since it uses less digits than its factorization.

40109860098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9494 (or 9485 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 40109860098 in words is "forty billion, one hundred nine million, eight hundred sixty thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 126 154 162 189 198 231 297 353 378 462 567 594 693 706 891 1059 1134 1386 1782 2079 2118 2471 3177 3883 4158 4942 6237 6354 7413 7766 9109 9531 11649 12474 14826 18218 19062 22239 23298 27181 27327 28593 34947 44478 54362 54654 57186 63763 66717 69894 81543 81981 100199 104841 127526 133434 163086 163962 191289 200151 200398 209682 244629 245943 300597 314523 382578 400302 489258 491886 573867 601194 629046 701393 733887 737829 901791 1147734 1402786 1467774 1475658 1721601 1803582 2104179 2201661 2705373 3215477 3443202 4208358 4403322 5164803 5410746 6312537 6430954 8116119 9646431 10329606 12625074 16232238 18937611 19292862 22508339 28939293 35370247 37875222 45016678 56812833 57878586 67525017 70740494 86817879 106110741 113625666 135050034 173635758 202575051 212221482 247591729 260453637 318332223 405150102 495183458 520907274 607725153 636664446 742775187 954996669 1215450306 1485550374 1823175459 1909993338 2228325561 2864990007 3646350918 4456651122 5729980014 6684976683 13369953366 20054930049 40109860098