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4411970940 = 2235137197867
BaseRepresentation
bin1000001101111100…
…10101010101111100
3102101110220100100010
410012332111111330
533013431032230
62005443503220
7214222064016
oct40676252574
912343810303
104411970940
111964496083
12a31687b10
135540949c0
142dbd531b6
151ac5009b0
hex106f9557c

4411970940 has 96 divisors (see below), whose sum is σ = 13323985920. Its totient is φ = 1084375296.

The previous prime is 4411970939. The next prime is 4411970963. The reversal of 4411970940 is 490791144.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 556887 + ... + 564753.

It is an arithmetic number, because the mean of its divisors is an integer number (138791520).

Almost surely, 24411970940 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 4411970940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661992960).

4411970940 is an abundant number, since it is smaller than the sum of its proper divisors (8912014980).

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

4411970940 is a wasteful number, since it uses less digits than its factorization.

4411970940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8611 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 4411970940 is about 66422.6688714026. The cubic root of 4411970940 is about 1640.1272630768.

The spelling of 4411970940 in words is "four billion, four hundred eleven million, nine hundred seventy thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 719 780 1438 2157 2876 3595 4314 7190 7867 8628 9347 10785 14380 15734 18694 21570 23601 28041 31468 37388 39335 43140 46735 47202 56082 78670 93470 94404 102271 112164 118005 140205 157340 186940 204542 236010 280410 306813 409084 472020 511355 560820 613626 1022710 1227252 1534065 2045420 3068130 5656373 6136260 11312746 16969119 22625492 28281865 33938238 56563730 67876476 73532849 84845595 113127460 147065698 169691190 220598547 294131396 339382380 367664245 441197094 735328490 882394188 1102992735 1470656980 2205985470 4411970940