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40135223340 = 223257322313697
BaseRepresentation
bin100101011000001111…
…101110100000101100
310211121002111121001100
4211120033232200230
51124144104121330
630234325043100
72620405524642
oct453017564054
9124532447040
1040135223340
1116026318373
127941256490
133a280a9684
141d2a52b192
15109d7e8060
hex9583ee82c

40135223340 has 144 divisors (see below), whose sum is σ = 123973694208. Its totient is φ = 10508009472.

The previous prime is 40135223339. The next prime is 40135223407. The reversal of 40135223340 is 4332253104.

40135223340 is a `hidden beast` number, since 40 + 1 + 352 + 233 + 40 = 666.

It is a super-2 number, since 2×401352233402 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2923372 + ... + 2937068.

It is an arithmetic number, because the mean of its divisors is an integer number (860928432).

Almost surely, 240135223340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40135223340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61986847104).

40135223340 is an abundant number, since it is smaller than the sum of its proper divisors (83838470868).

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

40135223340 is a wasteful number, since it uses less digits than its factorization.

40135223340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14008 (or 14003 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 40135223340 its reverse (4332253104), we get a palindrome (44467476444).

The spelling of 40135223340 in words is "forty billion, one hundred thirty-five million, two hundred twenty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 223 292 365 438 446 657 669 730 876 892 1095 1115 1314 1338 1460 2007 2190 2230 2628 2676 3285 3345 4014 4380 4460 6570 6690 8028 10035 13140 13380 13697 16279 20070 27394 32558 40140 41091 48837 54788 65116 68485 81395 82182 97674 123273 136970 146511 162790 164364 195348 205455 244185 246546 273940 293022 325580 410910 488370 493092 586044 616365 732555 821820 976740 999881 1232730 1465110 1999762 2465460 2930220 2999643 3054431 3999524 4999405 5999286 6108862 8998929 9163293 9998810 11998572 12217724 14998215 15272155 17997858 18326586 19997620 27489879 29996430 30544310 35995716 36653172 44994645 45816465 54979758 59992860 61088620 89989290 91632930 109959516 137449395 179978580 183265860 222973463 274898790 445946926 549797580 668920389 891893852 1114867315 1337840778 2006761167 2229734630 2675681556 3344601945 4013522334 4459469260 6689203890 8027044668 10033805835 13378407780 20067611670 40135223340