Search a number
-
+
43434733920 = 2535158357163
BaseRepresentation
bin101000011100111010…
…010111000101100000
311011010001010002122220
4220130322113011200
51202423242441140
631541553031040
73065232101214
oct503472270540
9134101102586
1043434733920
1117469858516
128502255480
134132849cb6
14216081a944
1511e3300bd0
hexa1ce97160

43434733920 has 96 divisors (see below), whose sum is σ = 136908237312. Its totient is φ = 11575076352.

The previous prime is 43434733907. The next prime is 43434733943. The reversal of 43434733920 is 2933743434.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×434347339202 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 731259 + ... + 788421.

It is an arithmetic number, because the mean of its divisors is an integer number (1426127472).

Almost surely, 243434733920 is an apocalyptic number.

43434733920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

43434733920 is an abundant number, since it is smaller than the sum of its proper divisors (93473503392).

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

43434733920 is a wasteful number, since it uses less digits than its factorization.

43434733920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58764 (or 58756 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 42.

The spelling of 43434733920 in words is "forty-three billion, four hundred thirty-four million, seven hundred thirty-three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1583 3166 4749 6332 7915 9498 12664 15830 18996 23745 25328 31660 37992 47490 50656 57163 63320 75984 94980 114326 126640 151968 171489 189960 228652 253280 285815 342978 379920 457304 571630 685956 759840 857445 914608 1143260 1371912 1714890 1829216 2286520 2743824 3429780 4573040 5487648 6859560 9146080 13719120 27438240 90489029 180978058 271467087 361956116 452445145 542934174 723912232 904890290 1085868348 1357335435 1447824464 1809780580 2171736696 2714670870 2895648928 3619561160 4343473392 5429341740 7239122320 8686946784 10858683480 14478244640 21717366960 43434733920