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940070002816 = 2779725143093
BaseRepresentation
bin11011010111000001000…
…10011110000010000000
310022212111002120010112201
431223200202132002000
5110400230410042231
61555510122402544
7124626545116120
oct15534042360200
93285432503481
10940070002816
11332755010aaa
12132237660454
136a8571ab549
14336dcdb6c80
15196c0240161
hexdae089e080

940070002816 has 128 divisors (see below), whose sum is σ = 2171068824960. Its totient is φ = 397135872000.

The previous prime is 940070002799. The next prime is 940070002897. The reversal of 940070002816 is 618200070049.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×9400700028162 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21793366 + ... + 21836458.

It is an arithmetic number, because the mean of its divisors is an integer number (16961475195).

Almost surely, 2940070002816 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 940070002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085534412480).

940070002816 is an abundant number, since it is smaller than the sum of its proper divisors (1230998822144).

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

940070002816 is a wasteful number, since it uses less digits than its factorization.

940070002816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43462 (or 43450 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The spelling of 940070002816 in words is "nine hundred forty billion, seventy million, two thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 194 224 251 388 448 502 679 776 896 1004 1358 1552 1757 2008 2716 3104 3514 4016 5432 6208 7028 8032 10864 12416 14056 16064 21728 24347 28112 32128 43093 43456 48694 56224 86186 86912 97388 112448 170429 172372 194776 224896 301651 340858 344744 389552 603302 681716 689488 779104 1206604 1363432 1378976 1558208 2413208 2726864 2757952 3116416 4180021 4826416 5453728 5515904 8360042 9652832 10816343 10907456 16720084 19305664 21632686 21814912 29260147 33440168 38611328 43265372 58520294 66880336 75714401 86530744 117040588 133760672 151428802 173061488 234081176 267521344 302857604 346122976 468162352 535042688 605715208 692245952 936324704 1049185271 1211430416 1384491904 1872649408 2098370542 2422860832 3745298816 4196741084 4845721664 7344296897 8393482168 9691443328 14688593794 16786964336 29377187588 33573928672 58754375176 67147857344 117508750352 134295714688 235017500704 470035001408 940070002816