Search a number
-
+
3938719974144 = 28323613655411
BaseRepresentation
bin111001010100001110000…
…000010100001100000000
3111221112112011111211210220
4321110032000110030000
51004012444303133034
612213231210223040
7554364103245444
oct71241600241400
914845464454726
103938719974144
11128944681a1aa
12537425424a80
1322755c107cc7
14d88c6888824
156c6c61b0749
hex3950e014300

3938719974144 has 144 divisors (see below), whose sum is σ = 11117833246464. Its totient is φ = 1235236147200.

The previous prime is 3938719974139. The next prime is 3938719974197. The reversal of 3938719974144 is 4414799178393.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 750202 + ... + 2905209.

Almost surely, 23938719974144 is an apocalyptic number.

It is an amenable number.

3938719974144 is an abundant number, since it is smaller than the sum of its proper divisors (7179113272320).

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

3938719974144 is a wasteful number, since it uses less digits than its factorization.

3938719974144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655514 (or 3655500 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 69.

The spelling of 3938719974144 in words is "three trillion, nine hundred thirty-eight billion, seven hundred nineteen million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 61 64 69 92 96 122 128 138 183 184 192 244 256 276 366 368 384 488 552 732 736 768 976 1104 1403 1464 1472 1952 2208 2806 2928 2944 3904 4209 4416 5612 5856 5888 7808 8418 8832 11224 11712 15616 16836 17664 22448 23424 33672 44896 46848 67344 89792 134688 179584 269376 359168 538752 1077504 3655411 7310822 10966233 14621644 21932466 29243288 43864932 58486576 84074453 87729864 116973152 168148906 175459728 222980071 233946304 252223359 336297812 350919456 445960142 467892608 504446718 668940213 672595624 701838912 891920284 935785216 1008893436 1337880426 1345191248 1403677824 1783840568 2017786872 2675760852 2690382496 2807355648 3567681136 4035573744 5128541633 5351521704 5380764992 7135362272 8071147488 10257083266 10703043408 10761529984 14270724544 15385624899 16142294976 20514166532 21406086816 21523059968 28541449088 30771249798 32284589952 41028333064 42812173632 57082898176 61542499596 64569179904 82056666128 85624347264 123084999192 164113332256 171248694528 246169998384 328226664512 492339996768 656453329024 984679993536 1312906658048 1969359987072 3938719974144