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40784395740 = 223511419147481
BaseRepresentation
bin100101111110111100…
…000111110111011100
310220021100000222011120
4211332330013313130
51132011301130430
630422555050540
72642450433564
oct457674076734
9126240028146
1040784395740
1116329801190
127aa2740a50
133acc730a5a
141d8c833da4
1510da7ca610
hex97ef07ddc

40784395740 has 96 divisors (see below), whose sum is σ = 124875959040. Its totient is φ = 9863462400.

The previous prime is 40784395723. The next prime is 40784395781. The reversal of 40784395740 is 4759348704.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202800 + ... + 350280.

It is an arithmetic number, because the mean of its divisors is an integer number (1300791240).

Almost surely, 240784395740 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 40784395740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62437979520).

40784395740 is an abundant number, since it is smaller than the sum of its proper divisors (84091563300).

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

40784395740 is a wasteful number, since it uses less digits than its factorization.

40784395740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147923 (or 147921 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 40784395740 in words is "forty billion, seven hundred eighty-four million, three hundred ninety-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 419 660 838 1257 1676 2095 2514 4190 4609 5028 6285 8380 9218 12570 13827 18436 23045 25140 27654 46090 55308 69135 92180 138270 147481 276540 294962 442443 589924 737405 884886 1474810 1622291 1769772 2212215 2949620 3244582 4424430 4866873 6489164 8111455 8848860 9733746 16222910 19467492 24334365 32445820 48668730 61794539 97337460 123589078 185383617 247178156 308972695 370767234 617945390 679739929 741534468 926918085 1235890780 1359479858 1853836170 2039219787 2718959716 3398699645 3707672340 4078439574 6797399290 8156879148 10196098935 13594798580 20392197870 40784395740