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43410139201 = 112132312472
BaseRepresentation
bin101000011011011100…
…100010100001000001
311011001022211120001101
4220123130202201001
51202400443423301
631535313534401
73064513044412
oct503334424101
9134038746041
1043410139201
111745698a100
1284b5b74401
13412a718400
14215b457809
1511e1093701
hexa1b722841

43410139201 has 81 divisors (see below), whose sum is σ = 54548591139. Its totient is φ = 34502925600.

The previous prime is 43410139153. The next prime is 43410139231. The reversal of 43410139201 is 10293101434.

The square root of 43410139201 is 208351.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6421618225 + 36988520976 = 80135^2 + 192324^2 .

It is not a de Polignac number, because 43410139201 - 223 = 43401750593 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43410139201.

It is not an unprimeable number, because it can be changed into a prime (43410139231) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 923619960 + ... + 923620006.

Almost surely, 243410139201 is an apocalyptic number.

43410139201 is the 208351-st square number.

43410139201 is the 104176-th centered octagonal number.

It is an amenable number.

43410139201 is a deficient number, since it is larger than the sum of its proper divisors (11138451938).

43410139201 is a wasteful number, since it uses less digits than its factorization.

43410139201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The spelling of 43410139201 in words is "forty-three billion, four hundred ten million, one hundred thirty-nine thousand, two hundred one".

Divisors: 1 11 13 31 47 121 143 169 341 403 517 611 961 1457 1573 1859 2209 3751 4433 5239 5687 6721 7943 10571 12493 16027 18941 20449 24299 28717 45167 48763 57629 68479 73931 87373 116281 137423 162409 176297 208351 246233 267289 315887 373321 496837 587171 633919 753269 890227 961103 1511653 1786499 2122849 2291861 2708563 3474757 4106531 5465207 6458881 7633223 8285959 9792497 11572951 19651489 23351339 27597037 29794193 45171841 71047691 83965453 107717467 127302461 256864729 303567407 358761481 923619983 1400327071 3339241477 3946376291 43410139201