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4381970940 = 2233541197921
BaseRepresentation
bin1000001010010111…
…11001000111111100
3102022101110012002000
410011023321013330
532433241032230
62002452502300
7213406065324
oct40513710774
912271405060
104381970940
111949565696
12a2361a990
1354aabca19
142d7d84284
151a9a76b60
hex1052f91fc

4381970940 has 96 divisors (see below), whose sum is σ = 13965376320. Its totient is φ = 1140019200.

The previous prime is 4381970909. The next prime is 4381970953. The reversal of 4381970940 is 490791834.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 76821 + ... + 121100.

It is an arithmetic number, because the mean of its divisors is an integer number (145472670).

Almost surely, 24381970940 is an apocalyptic number.

It is an amenable number.

4381970940 is an abundant number, since it is smaller than the sum of its proper divisors (9583405380).

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

4381970940 is a wasteful number, since it uses less digits than its factorization.

4381970940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197980 (or 197972 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 4381970940 is about 66196.4571559536. The cubic root of 4381970940 is about 1636.4013572618.

The spelling of 4381970940 in words is "four billion, three hundred eighty-one million, nine hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 45 54 60 82 90 108 123 135 164 180 205 246 270 369 410 492 540 615 738 820 1107 1230 1476 1845 2214 2460 3690 4428 5535 7380 11070 22140 197921 395842 593763 791684 989605 1187526 1781289 1979210 2375052 2968815 3562578 3958420 5343867 5937630 7125156 8114761 8906445 10687734 11875260 16229522 17812890 21375468 24344283 26719335 32459044 35625780 40573805 48688566 53438670 73032849 81147610 97377132 106877340 121721415 146065698 162295220 219098547 243442830 292131396 365164245 438197094 486885660 730328490 876394188 1095492735 1460656980 2190985470 4381970940