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40114368342 = 233173113910141
BaseRepresentation
bin100101010111000000…
…001010111101010110
310211112122021001101000
4211113000022331112
51124123234241332
630232302044130
72620033335126
oct452700127526
9124478231330
1040114368342
1116015573734
127936279646
133a23987039
141d2785cc86
15109ba78b7c
hex95700af56

40114368342 has 128 divisors (see below), whose sum is σ = 98142105600. Its totient is φ = 12090124800.

The previous prime is 40114368337. The next prime is 40114368397. The reversal of 40114368342 is 24386341104.

It is a junction number, because it is equal to n+sod(n) for n = 40114368297 and 40114368306.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3950592 + ... + 3960732.

It is an arithmetic number, because the mean of its divisors is an integer number (766735200).

Almost surely, 240114368342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40114368342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49071052800).

40114368342 is an abundant number, since it is smaller than the sum of its proper divisors (58027737258).

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

40114368342 is a wasteful number, since it uses less digits than its factorization.

40114368342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10339 (or 10333 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 40114368342 in words is "forty billion, one hundred fourteen million, three hundred sixty-eight thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 139 153 186 278 279 306 417 459 527 558 834 837 918 1054 1251 1581 1674 2363 2502 3162 3753 4309 4726 4743 7089 7506 8618 9486 10141 12927 14178 14229 20282 21267 25854 28458 30423 38781 42534 60846 63801 73253 77562 91269 116343 127602 146506 172397 182538 219759 232686 273807 314371 344794 439518 517191 547614 628742 659277 943113 1034382 1318554 1409599 1551573 1886226 1977831 2819198 2829339 3103146 3955662 4228797 4654719 5344307 5658678 8457594 8488017 9309438 10688614 12686391 16032921 16976034 23963183 25372782 32065842 38059173 43697569 47926366 48098763 71889549 76118346 87395138 96197526 131092707 143779098 144296289 215668647 262185414 288592578 393278121 431337294 647005941 742858673 786556242 1179834363 1294011882 1485717346 2228576019 2359668726 4457152038 6685728057 13371456114 20057184171 40114368342