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4114928640 = 21035267899
BaseRepresentation
bin1111010101000100…
…1101010000000000
3101121202222000220110
43311101031100000
531411410204030
61520153111320
7203654213334
oct36521152000
911552860813
104114928640
111821851879
1296a0b8540
13507691224
142b070d7c4
151913c81b0
hexf544d400

4114928640 has 88 divisors (see below), whose sum is σ = 13161391200. Its totient is φ = 1097310208.

The previous prime is 4114928593. The next prime is 4114928647. The reversal of 4114928640 is 468294114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4114928647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118590 + ... + 149309.

Almost surely, 24114928640 is an apocalyptic number.

4114928640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4114928640 is an abundant number, since it is smaller than the sum of its proper divisors (9046462560).

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

4114928640 is a wasteful number, since it uses less digits than its factorization.

4114928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267927 (or 267909 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 4114928640 is about 64147.7095460157. The cubic root of 4114928640 is about 1602.4608797704.

The spelling of 4114928640 in words is "four billion, one hundred fourteen million, nine hundred twenty-eight thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2560 3072 3840 5120 7680 15360 267899 535798 803697 1071596 1339495 1607394 2143192 2678990 3214788 4018485 4286384 5357980 6429576 8036970 8572768 10715960 12859152 16073940 17145536 21431920 25718304 32147880 34291072 42863840 51436608 64295760 68582144 85727680 102873216 128591520 137164288 171455360 205746432 257183040 274328576 342910720 411492864 514366080 685821440 822985728 1028732160 1371642880 2057464320 4114928640