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38714840081840 = 24513416311438901
BaseRepresentation
bin10001100110110000000000…
…10010100110010110110000
312002002002202202210211022002
420303120000102212112300
520033300443030104330
6214201204011033132
711104024554012626
oct1063300022462660
9162062682724262
1038714840081840
1111376964a2902a
12441324173b7a8
13187aa41b56c50
1497bb45c07516
154720dda6ce45
hex2336004a65b0

38714840081840 has 160 divisors (see below), whose sum is σ = 99457735047552. Its totient is φ = 13923947520000.

The previous prime is 38714840081839. The next prime is 38714840081873. The reversal of 38714840081840 is 4818004841783.

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 31 ways as a sum of consecutive naturals, for example, 26186390 + ... + 27625290.

Almost surely, 238714840081840 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 38714840081840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49728867523776).

38714840081840 is an abundant number, since it is smaller than the sum of its proper divisors (60742894965712).

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

38714840081840 is a wasteful number, since it uses less digits than its factorization.

38714840081840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1439599 (or 1439593 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 56.

The spelling of 38714840081840 in words is "thirty-eight trillion, seven hundred fourteen billion, eight hundred forty million, eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 41 52 65 80 82 104 130 164 205 208 260 328 410 520 533 631 656 820 1040 1066 1262 1640 2132 2524 2665 3155 3280 4264 5048 5330 6310 8203 8528 10096 10660 12620 16406 21320 25240 25871 32812 41015 42640 50480 51742 65624 82030 103484 129355 131248 164060 206968 258710 328120 336323 413936 517420 656240 672646 1034840 1345292 1438901 1681615 2069680 2690584 2877802 3363230 5381168 5755604 6726460 7194505 11511208 13452920 14389010 18705713 23022416 26905840 28778020 37411426 57556040 58994941 74822852 93528565 115112080 117989882 149645704 187057130 235979764 294974705 299291408 374114260 471959528 589949410 748228520 766934233 907946531 943919056 1179898820 1496457040 1533868466 1815893062 2359797640 3067736932 3631786124 3834671165 4539732655 4719595280 6135473864 7263572248 7669342330 9079465310 11803304903 12270947728 14527144496 15338684660 18158930620 23606609806 30677369320 36317861240 37225807771 47213219612 59016524515 61354738640 72635722480 74451615542 94426439224 118033049030 148903231084 186129038855 188852878448 236066098060 297806462168 372258077710 472132196120 483935501023 595612924336 744516155420 944264392240 967871002046 1489032310840 1935742004092 2419677505115 2978064621680 3871484008184 4839355010230 7742968016368 9678710020460 19357420040920 38714840081840