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40142341344 = 2537275711273
BaseRepresentation
bin100101011000101010…
…111000010011100000
310211121120220020010010
4211120222320103200
51124202414410334
630235141404520
72620523162100
oct453052702340
9124546806103
1040142341344
111602a33a216
127943709740
133a296cc501
141d2b461200
15109e2520e9
hex958ab84e0

40142341344 has 144 divisors (see below), whose sum is σ = 122750319888. Its totient is φ = 11453073408.

The previous prime is 40142341339. The next prime is 40142341357. The reversal of 40142341344 is 44314324104.

It is a super-2 number, since 2×401423413442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3555292 + ... + 3566564.

It is an arithmetic number, because the mean of its divisors is an integer number (852432777).

Almost surely, 240142341344 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 40142341344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61375159944).

40142341344 is an abundant number, since it is smaller than the sum of its proper divisors (82607978544).

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

40142341344 is a wasteful number, since it uses less digits than its factorization.

40142341344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12057 (or 12042 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 40142341344 its reverse (44314324104), we get a palindrome (84456665448).

The spelling of 40142341344 in words is "forty billion, one hundred forty-two million, three hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 757 784 1176 1514 1568 2271 2352 3028 4542 4704 5299 6056 9084 10598 11273 12112 15897 18168 21196 22546 24224 31794 33819 36336 37093 42392 45092 63588 67638 72672 74186 78911 84784 90184 111279 127176 135276 148372 157822 169568 180368 222558 236733 254352 270552 296744 315644 360736 445116 473466 508704 541104 552377 593488 631288 890232 946932 1082208 1104754 1186976 1262576 1657131 1780464 1893864 2209508 2525152 3314262 3560928 3787728 4419016 6628524 7575456 8533661 8838032 13257048 17067322 17676064 25600983 26514096 34134644 51201966 53028192 59735627 68269288 102403932 119471254 136538576 179206881 204807864 238942508 273077152 358413762 409615728 418149389 477885016 716827524 819231456 836298778 955770032 1254448167 1433655048 1672597556 1911540064 2508896334 2867310096 3345195112 5017792668 5734620192 6690390224 10035585336 13380780448 20071170672 40142341344