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40040011113444 = 223331101331180241
BaseRepresentation
bin10010001101010100010101…
…01000111010001111100100
312020202210021012220011121000
421012222022220322033210
520222003420321112234
6221054043245153300
711301536541642156
oct1106521250721744
9166683235804530
1040040011113444
1111837967483881
1245a803285b830
1319459aba3b614
149c5d3833aad6
154967ec69b899
hex246a8aa3a3e4

40040011113444 has 96 divisors (see below), whose sum is σ = 107166728954880. Its totient is φ = 12914847014400.

The previous prime is 40040011113439. The next prime is 40040011113469. The reversal of 40040011113444 is 44431111004004.

It is a super-2 number, since 2×400400111134442 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33335164 + ... + 34515404.

It is an arithmetic number, because the mean of its divisors is an integer number (1116320093280).

Almost surely, 240040011113444 is an apocalyptic number.

It is an amenable number.

40040011113444 is an abundant number, since it is smaller than the sum of its proper divisors (67126717841436).

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

40040011113444 is a wasteful number, since it uses less digits than its factorization.

40040011113444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190418 (or 1190410 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 40040011113444 its reverse (44431111004004), we get a palindrome (84471122117448).

The spelling of 40040011113444 in words is "forty trillion, forty billion, eleven million, one hundred thirteen thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 3348 10133 20266 30399 40532 60798 91197 121596 182394 273591 314123 364788 547182 628246 942369 1094364 1180241 1256492 1884738 2360482 2827107 3540723 3769476 4720964 5654214 7081446 8481321 10622169 11308428 14162892 16962642 21244338 31866507 33925284 36587471 42488676 63733014 73174942 109762413 127466028 146349884 219524826 329287239 439049652 658574478 987861717 1317148956 1975723434 3951446868 11959382053 23918764106 35878146159 47837528212 71756292318 107634438477 143512584636 215268876954 322903315431 370740843643 430537753908 645806630862 741481687286 1112222530929 1291613261724 1482963374572 2224445061858 3336667592787 4448890123716 6673335185574 10010002778361 13346670371148 20020005556722 40040011113444