Search a number
-
+
43701428352 = 2731711359243
BaseRepresentation
bin101000101100110011…
…101110000010000000
311011210121221120122110
4220230303232002000
51204000031201402
632024241135320
73104651004051
oct505463560200
9134717846573
1043701428352
1117596353a3a
12857762a540
134175b8635a
142188000728
15120b93156c
hexa2ccee080

43701428352 has 128 divisors (see below), whose sum is σ = 124000061760. Its totient is φ = 13588692992.

The previous prime is 43701428327. The next prime is 43701428357. The reversal of 43701428352 is 25382410734.

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

It is a self number, because there is not a number n which added to its sum of digits gives 43701428352.

It is not an unprimeable number, because it can be changed into a prime (43701428357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708043 + ... + 767285.

Almost surely, 243701428352 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 43701428352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62000030880).

43701428352 is an abundant number, since it is smaller than the sum of its proper divisors (80298633408).

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

43701428352 is a wasteful number, since it uses less digits than its factorization.

43701428352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59390 (or 59378 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The spelling of 43701428352 in words is "forty-three billion, seven hundred one million, four hundred twenty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 113 128 136 192 204 226 272 339 384 408 452 544 678 816 904 1088 1356 1632 1808 1921 2176 2712 3264 3616 3842 5424 5763 6528 7232 7684 10848 11526 14464 15368 21696 23052 30736 43392 46104 59243 61472 92208 118486 122944 177729 184416 236972 245888 355458 368832 473944 710916 737664 947888 1007131 1421832 1895776 2014262 2843664 3021393 3791552 4028524 5687328 6042786 6694459 7583104 8057048 11374656 12085572 13388918 16114096 20083377 22749312 24171144 26777836 32228192 40166754 48342288 53555672 64456384 80333508 96684576 107111344 113805803 128912768 160667016 193369152 214222688 227611606 321334032 341417409 386738304 428445376 455223212 642668064 682834818 856890752 910446424 1285336128 1365669636 1820892848 2570672256 2731339272 3641785696 5462678544 7283571392 10925357088 14567142784 21850714176 43701428352